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Finding the Third Proportional to 510,735,024 and 792,450,864

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Solution

The third proportional to 510,735,024 and 792,450,864 is: 1,229,558,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,735,024 : 792,450,864 = 792,450,864 : x
  2. Step 2: Convert to fraction form
    510,735,024/792,450,864 = 792,450,864/x
  3. Step 3: Cross multiply
    510,735,024x = 792,450,864 × 792,450,864
  4. Step 4: Simplify right side
    510,735,024x = 627,978,371,854,346,496
  5. Step 5: Solve for x
    x = 627,978,371,854,346,496/510,735,024
  6. Step 6: Final answer
    x = 1,229,558,072.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.