Finding the Third Proportional to 524,016 and 1,122,822
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Solution
The third proportional to 524,016 and 1,122,822 is: 2,405,898.38
Step by Step Solution
- Step 1: Write the proportion equation
524,016 : 1,122,822 = 1,122,822 : x - Step 2: Convert to fraction form
524,016/1,122,822 = 1,122,822/x - Step 3: Cross multiply
524,016x = 1,122,822 × 1,122,822 - Step 4: Simplify right side
524,016x = 1,260,729,243,684 - Step 5: Solve for x
x = 1,260,729,243,684/524,016 - Step 6: Final answer
x = 2,405,898.38
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.