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This is solved by #17190!

sage: R.<x,y> = RR[]
sage: P = 4*x^3*y^2 + 7*x^5*y - 3*x*y^4
sage: Q = 5*x^3*y^3 - 9*y^2
sage: P.polynomial(x)
7.00000000000000*y*x^5 + 4.00000000000000*y^2*x^3 - 3.00000000000000*y^4*x
sage: P.polynomial(x).resultant(Q.polynomial(x))
151875.000000000*y^26 - 4.59270000000000e6*y^19 - 1.16640000000000e6*y^18 - 2.02538070000000e7*y^13