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Finding the Third Proportional to 527,226 and 1,134,551

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Solution

The third proportional to 527,226 and 1,134,551 is: 2,441,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,226 : 1,134,551 = 1,134,551 : x
  2. Step 2: Convert to fraction form
    527,226/1,134,551 = 1,134,551/x
  3. Step 3: Cross multiply
    527,226x = 1,134,551 × 1,134,551
  4. Step 4: Simplify right side
    527,226x = 1,287,205,971,601
  5. Step 5: Solve for x
    x = 1,287,205,971,601/527,226
  6. Step 6: Final answer
    x = 2,441,469.07

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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.