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Finding the Third Proportional to 729,141.75 and 1,134,999

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Solution

The third proportional to 729,141.75 and 1,134,999 is: 1,766,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,141.75 : 1,134,999 = 1,134,999 : x
  2. Step 2: Convert to fraction form
    729,141.75/1,134,999 = 1,134,999/x
  3. Step 3: Cross multiply
    729,141.75x = 1,134,999 × 1,134,999
  4. Step 4: Simplify right side
    729,141.75x = 1,288,222,730,001
  5. Step 5: Solve for x
    x = 1,288,222,730,001/729,141.75
  6. Step 6: Final answer
    x = 1,766,765.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.