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Finding the Third Proportional to 669,834,704 and 904,721,568

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Solution

The third proportional to 669,834,704 and 904,721,568 is: 1,221,974,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,834,704 : 904,721,568 = 904,721,568 : x
  2. Step 2: Convert to fraction form
    669,834,704/904,721,568 = 904,721,568/x
  3. Step 3: Cross multiply
    669,834,704x = 904,721,568 × 904,721,568
  4. Step 4: Simplify right side
    669,834,704x = 818,521,115,604,378,624
  5. Step 5: Solve for x
    x = 818,521,115,604,378,624/669,834,704
  6. Step 6: Final answer
    x = 1,221,974,780.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.