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Finding the Third Proportional to 219,286,503 and 487,591,452

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Solution

The third proportional to 219,286,503 and 487,591,452 is: 1,084,177,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,286,503 : 487,591,452 = 487,591,452 : x
  2. Step 2: Convert to fraction form
    219,286,503/487,591,452 = 487,591,452/x
  3. Step 3: Cross multiply
    219,286,503x = 487,591,452 × 487,591,452
  4. Step 4: Simplify right side
    219,286,503x = 237,745,424,063,468,288
  5. Step 5: Solve for x
    x = 237,745,424,063,468,288/219,286,503
  6. Step 6: Final answer
    x = 1,084,177,187.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.