Integral Calculus: JEE Main 2022 Mathematics question

Let S be the region bounded by the curves y = x³ and y² = x. The curve y = 2|x| divides S into two regions of areas R₁, R₂. If max {R₁, R₂} = R₂, then ${{{R_2}} \over {{R_1}}}$ is equal to ______________.