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Finding the Third Proportional to 527,721 and 1,244,517

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Solution

The third proportional to 527,721 and 1,244,517 is: 2,934,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,721 : 1,244,517 = 1,244,517 : x
  2. Step 2: Convert to fraction form
    527,721/1,244,517 = 1,244,517/x
  3. Step 3: Cross multiply
    527,721x = 1,244,517 × 1,244,517
  4. Step 4: Simplify right side
    527,721x = 1,548,822,563,289
  5. Step 5: Solve for x
    x = 1,548,822,563,289/527,721
  6. Step 6: Final answer
    x = 2,934,926.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.