complex geometry - Relationship between Line Bundles with isomorphic ring of sections

Suppose two positive holomorphic line bundles $L_1 to X_1, L_2to X_2$ over two projective complex manifold $X_1, X_2$ have isomorphic ring of sections $R=R_1=R_2$ where $R_i=oplus_{m=0}^inftyGamma(X_i,mL_i)$. Isomorphism as graded ${mathbb C}$- algebras.

Is there any relationship betweeen $X_1$ and $X_2$? Eg, some morphism between them? How about relationship to $Proj R$?

Thanks.