This investigation aims to determine the existence of a dual solution in magne-tohydrodynamic (MHD) mixed convective radiative ternary hybrid nanofluid flow in a permeable Darcy-Forchheimer porous medium over an exponential shrinking surface by considering velocity & thermal slips and suction effects at the surface. The impacts for three types of fluid, namely, the mono nanofluid (Cu/H2O), hybrid nanofluid (Cu-Ag/H2O), and ternary hybrid nanofluid (Cu-Ag-Al2O3/H2O) are analyzed on different flow fields. The current work also addresses estimating entropy production to light on its innovative use in coolant applications. The nonlinear partial differential equations (PDEs) are converted into a set of ordinary differential equations (ODEs) using similarity transformation. Governing higher-order nonlin-ear ODEs are constructed and solved using the bvp4c numerical MATLAB function. Due to the presence of duality in the numerical solutions, the stability of these solutions is performed by locating the lowest eigenvalue. A positive minimum eigenvalue represents the upper stable solution branch, while a negative minimal eigenvalue represents the lower unstable solution branch. The effects of emergent variables on entropy generation and velocity, temperature, skin friction coefficient, and Nusselt number are analyzed graphically and in tabular form. The findings also show that the velocity profile improves when mono nanofluid transitions to hybrid nanofluid. However, it swiftly degrades for a ternary hybrid nanofluid medium for both solution branches. The temperature rises as we transition from mono to hybrid and from hybrid to ternary nanofluid medium. It has been shown that the thermal radiation Preprint submitted to 26 October 2023 parameter significantly influences the fluid’s temperature and the heat transfer rate. In the event of a stable solution, the increment in the Forchheimer number slows the flow of the liquid and is exacerbated by the magnetic field. Thermal radiation also significantly speeds up the creation of entropy. The present optimization method provides a fresh, advantageous perspective on the manufacture of polymer sheets, glass fiber, crude oil, plastic films, heat exchangers, and electronic gadgets. Hence, the obtained results are recommended for developing industrial device setup.