A piece of granite floats at the interface of mercury and water contained in a beaker as shown in the figure. If the densities of granite, water, and mercury are \( \rho \), \( \rho_1 \), and \( \rho_2 \) respectively, the ratio of the volume of granite in water to the volume of granite in mercury is:
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In problems involving floating objects and buoyant forces, remember that the total weight of the object is balanced by the buoyant force from the displaced fluids. Use this relationship to set up equations for the volumes displaced in each fluid.