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Finding the Third Proportional to 527,778 and 1,244,637

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Solution

The third proportional to 527,778 and 1,244,637 is: 2,935,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,778 : 1,244,637 = 1,244,637 : x
  2. Step 2: Convert to fraction form
    527,778/1,244,637 = 1,244,637/x
  3. Step 3: Cross multiply
    527,778x = 1,244,637 × 1,244,637
  4. Step 4: Simplify right side
    527,778x = 1,549,121,261,769
  5. Step 5: Solve for x
    x = 1,549,121,261,769/527,778
  6. Step 6: Final answer
    x = 2,935,175.89

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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.