We investigated the polar behavior of the double perovskite (Bi,Sr) 2 MgNbO 6 using first-principles densityfunctional theory calculations. We find that the magnitude (75 μC/cm 2 ) and direction (along [111]) of the polarization are comparable to our previous results for the A-site size difference (Bi,Sr) 2 ZnNbO 6 and (Bi,Pb) 2 ZnNbO 6 systems. However, comparisons with the (Bi,Sr) 2 ZnNbO 6 compound indicate that the presence of Zn modestly enhances the off-centering of the Sr and Nb cations as well as the Born effective charges of both Bi and Nb. Analogous to the corresponding Pb-based perovskites, Pb(Mg 1/3 Nb 2/3 )O 3 and Pb(Zn 1/3 Nb 2/3 )O 3 , we demonstrate that the differences in the experimentally observed critical temperatures are related to the differences in polarization between the two materials. A local dipole analysis indicates that the most significant contribution arises from the enhanced cooperative couplings with the larger Zn displacements.