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Finding the Third Proportional to 527,614 and 1,244,251

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Solution

The third proportional to 527,614 and 1,244,251 is: 2,934,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,614 : 1,244,251 = 1,244,251 : x
  2. Step 2: Convert to fraction form
    527,614/1,244,251 = 1,244,251/x
  3. Step 3: Cross multiply
    527,614x = 1,244,251 × 1,244,251
  4. Step 4: Simplify right side
    527,614x = 1,548,160,551,001
  5. Step 5: Solve for x
    x = 1,548,160,551,001/527,614
  6. Step 6: Final answer
    x = 2,934,267.38

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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.