The neutrino capture rate measured by the Russian-American Gallium Experiment is well below that predicted by solar models. To check the response of this experiment to low-energy neutrinos, a 517 kCi source of 51 Cr was produced by irradiating 512.7 g of 92.4%-enriched 50 Cr in a high-flux fast neutron reactor. This source, which mainly emits monoenergetic 747-keV neutrinos, was placed at the center of a 13.1 tonne target of liquid gallium and the cross section for the production of 71 Ge by the inverse beta decay reaction 71 Ga(νe, e − ) 71 Ge was measured to be [5.55 ± 0.60 (stat) ± 0.32 (syst)] × 10 −45 cm 2 . The ratio of this cross section to the theoretical cross section of Bahcall for this reaction is 0.95 ± 0.12 (expt) +0.035 −0.027 (theor) and to the cross section of Haxton is 0.87 ± 0.11 (expt) ± 0.09 (theor). This good agreement between prediction and observation implies that the overall experimental efficiency is correctly determined and provides considerable evidence for the reliability of the solar neutrino measurement. PACS number(s): 26.65.+t, 13.15.+g, 95.85.Ry