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Finding the Third Proportional to 615,645,743 and 1,354,419,422

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Solution

The third proportional to 615,645,743 and 1,354,419,422 is: 2,979,720,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,645,743 : 1,354,419,422 = 1,354,419,422 : x
  2. Step 2: Convert to fraction form
    615,645,743/1,354,419,422 = 1,354,419,422/x
  3. Step 3: Cross multiply
    615,645,743x = 1,354,419,422 × 1,354,419,422
  4. Step 4: Simplify right side
    615,645,743x = 1,834,451,970,690,814,208
  5. Step 5: Solve for x
    x = 1,834,451,970,690,814,208/615,645,743
  6. Step 6: Final answer
    x = 2,979,720,060.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.