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Finding the Third Proportional to 527,079 and 1,149,567

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Solution

The third proportional to 527,079 and 1,149,567 is: 2,507,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,079 : 1,149,567 = 1,149,567 : x
  2. Step 2: Convert to fraction form
    527,079/1,149,567 = 1,149,567/x
  3. Step 3: Cross multiply
    527,079x = 1,149,567 × 1,149,567
  4. Step 4: Simplify right side
    527,079x = 1,321,504,287,489
  5. Step 5: Solve for x
    x = 1,321,504,287,489/527,079
  6. Step 6: Final answer
    x = 2,507,222.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.