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Finding the Third Proportional to 439,526,760 and 915,224,724

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Solution

The third proportional to 439,526,760 and 915,224,724 is: 1,905,768,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,526,760 : 915,224,724 = 915,224,724 : x
  2. Step 2: Convert to fraction form
    439,526,760/915,224,724 = 915,224,724/x
  3. Step 3: Cross multiply
    439,526,760x = 915,224,724 × 915,224,724
  4. Step 4: Simplify right side
    439,526,760x = 837,636,295,420,876,160
  5. Step 5: Solve for x
    x = 837,636,295,420,876,160/439,526,760
  6. Step 6: Final answer
    x = 1,905,768,593.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.