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Finding the Third Proportional to 412,615,976 and 617,288,018

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Solution

The third proportional to 412,615,976 and 617,288,018 is: 923,484,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,615,976 : 617,288,018 = 617,288,018 : x
  2. Step 2: Convert to fraction form
    412,615,976/617,288,018 = 617,288,018/x
  3. Step 3: Cross multiply
    412,615,976x = 617,288,018 × 617,288,018
  4. Step 4: Simplify right side
    412,615,976x = 381,044,497,166,368,320
  5. Step 5: Solve for x
    x = 381,044,497,166,368,320/412,615,976
  6. Step 6: Final answer
    x = 923,484,594.22

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