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Finding the Third Proportional to 527,224 and 1,159,408

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Solution

The third proportional to 527,224 and 1,159,408 is: 2,549,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,224 : 1,159,408 = 1,159,408 : x
  2. Step 2: Convert to fraction form
    527,224/1,159,408 = 1,159,408/x
  3. Step 3: Cross multiply
    527,224x = 1,159,408 × 1,159,408
  4. Step 4: Simplify right side
    527,224x = 1,344,226,910,464
  5. Step 5: Solve for x
    x = 1,344,226,910,464/527,224
  6. Step 6: Final answer
    x = 2,549,631.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.