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Finding the Third Proportional to 527,217 and 1,134,532

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Solution

The third proportional to 527,217 and 1,134,532 is: 2,441,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,217 : 1,134,532 = 1,134,532 : x
  2. Step 2: Convert to fraction form
    527,217/1,134,532 = 1,134,532/x
  3. Step 3: Cross multiply
    527,217x = 1,134,532 × 1,134,532
  4. Step 4: Simplify right side
    527,217x = 1,287,162,859,024
  5. Step 5: Solve for x
    x = 1,287,162,859,024/527,217
  6. Step 6: Final answer
    x = 2,441,428.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.