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Finding the Third Proportional to 437,419,572 and 615,284,892

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Solution

The third proportional to 437,419,572 and 615,284,892 is: 865,474,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,419,572 : 615,284,892 = 615,284,892 : x
  2. Step 2: Convert to fraction form
    437,419,572/615,284,892 = 615,284,892/x
  3. Step 3: Cross multiply
    437,419,572x = 615,284,892 × 615,284,892
  4. Step 4: Simplify right side
    437,419,572x = 378,575,498,323,451,648
  5. Step 5: Solve for x
    x = 378,575,498,323,451,648/437,419,572
  6. Step 6: Final answer
    x = 865,474,529.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.