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Einstein´s Gravity has recently been quantized in cite{prg} and cite{jmp1} following considerations made by Suraj N. Gupta and Richard P. Feynman so as to avoid using Yang-Mill theories cite{g1,g2,g3}. The achievements of cite{prg} and cite{jmp1} use Einstein´s Lagrangian (EG) as elaboratedby Gupta cite{g1,g2,g3}. An appropriate constraint-choice allows one to avoid the lack of unitarity for the $S$ matrix that impairs the proceedings ofGupta and Feynman. Our present approximation to the EG-solution derived in cite{prg,jmp1}, that utilizes tools developed in cite{tp3,tp18,tp19,tp20,pr}, yields a simple way of handling things and still obtain results quite similar to those yielded by the exact treatment of cite{prg,jmp1}. {it Our approximation consists in setting the graviton field $phi^{mu u} = gamma^{mu u}phi$,where $gamma^{mu u}$ is a constant tensor and $phi$ a scalar (graviton) field}.