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Finding the Third Proportional to 459,613,650 and 687,792,024

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Solution

The third proportional to 459,613,650 and 687,792,024 is: 1,029,251,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,613,650 : 687,792,024 = 687,792,024 : x
  2. Step 2: Convert to fraction form
    459,613,650/687,792,024 = 687,792,024/x
  3. Step 3: Cross multiply
    459,613,650x = 687,792,024 × 687,792,024
  4. Step 4: Simplify right side
    459,613,650x = 473,057,868,278,016,576
  5. Step 5: Solve for x
    x = 473,057,868,278,016,576/459,613,650
  6. Step 6: Final answer
    x = 1,029,251,129.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.