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Finding the Third Proportional to 402,429,522 and 862,228,452

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Solution

The third proportional to 402,429,522 and 862,228,452 is: 1,847,374,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,429,522 : 862,228,452 = 862,228,452 : x
  2. Step 2: Convert to fraction form
    402,429,522/862,228,452 = 862,228,452/x
  3. Step 3: Cross multiply
    402,429,522x = 862,228,452 × 862,228,452
  4. Step 4: Simplify right side
    402,429,522x = 743,437,903,438,316,288
  5. Step 5: Solve for x
    x = 743,437,903,438,316,288/402,429,522
  6. Step 6: Final answer
    x = 1,847,374,168.14

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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.