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Finding the Third Proportional to 689,361 and 1,034,771

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Solution

The third proportional to 689,361 and 1,034,771 is: 1,553,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,361 : 1,034,771 = 1,034,771 : x
  2. Step 2: Convert to fraction form
    689,361/1,034,771 = 1,034,771/x
  3. Step 3: Cross multiply
    689,361x = 1,034,771 × 1,034,771
  4. Step 4: Simplify right side
    689,361x = 1,070,751,022,441
  5. Step 5: Solve for x
    x = 1,070,751,022,441/689,361
  6. Step 6: Final answer
    x = 1,553,251.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.