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Finding the Third Proportional to 418,515,446 and 689,129,454

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Solution

The third proportional to 418,515,446 and 689,129,454 is: 1,134,723,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,515,446 : 689,129,454 = 689,129,454 : x
  2. Step 2: Convert to fraction form
    418,515,446/689,129,454 = 689,129,454/x
  3. Step 3: Cross multiply
    418,515,446x = 689,129,454 × 689,129,454
  4. Step 4: Simplify right side
    418,515,446x = 474,899,404,370,338,112
  5. Step 5: Solve for x
    x = 474,899,404,370,338,112/418,515,446
  6. Step 6: Final answer
    x = 1,134,723,721.45

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.