The ratio of chickens to ducks in the breeding factory is 3:2, and the ratio of ducks to geese is 3:4. There are 500 more chickens than geese. How many ducks are raised in the breeding factory?
饲养厂养的鸡和鸭的只数比是3：2，养的鸭和鹅的只数比是3：4，养的鸡比鹅多500只．饲养厂养鸭多少只？
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">(3/2) - (4/3)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">500 / (1/6)</gadget>
<output>3_000</output>

<result>3_000</result>