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Finding the Third Proportional to 437,419,992 and 615,285,396

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Solution

The third proportional to 437,419,992 and 615,285,396 is: 865,475,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,419,992 : 615,285,396 = 615,285,396 : x
  2. Step 2: Convert to fraction form
    437,419,992/615,285,396 = 615,285,396/x
  3. Step 3: Cross multiply
    437,419,992x = 615,285,396 × 615,285,396
  4. Step 4: Simplify right side
    437,419,992x = 378,576,118,530,876,800
  5. Step 5: Solve for x
    x = 378,576,118,530,876,800/437,419,992
  6. Step 6: Final answer
    x = 865,475,116.49

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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.