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Finding the Third Proportional to 402,429,520 and 862,228,448

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Solution

The third proportional to 402,429,520 and 862,228,448 is: 1,847,374,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,429,520 : 862,228,448 = 862,228,448 : x
  2. Step 2: Convert to fraction form
    402,429,520/862,228,448 = 862,228,448/x
  3. Step 3: Cross multiply
    402,429,520x = 862,228,448 × 862,228,448
  4. Step 4: Simplify right side
    402,429,520x = 743,437,896,540,488,704
  5. Step 5: Solve for x
    x = 743,437,896,540,488,704/402,429,520
  6. Step 6: Final answer
    x = 1,847,374,160.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.