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Finding the Third Proportional to 654,706.13 and 982,945.13

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Solution

The third proportional to 654,706.13 and 982,945.13 is: 1,475,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,706.13 : 982,945.13 = 982,945.13 : x
  2. Step 2: Convert to fraction form
    654,706.13/982,945.13 = 982,945.13/x
  3. Step 3: Cross multiply
    654,706.13x = 982,945.13 × 982,945.13
  4. Step 4: Simplify right side
    654,706.13x = 966,181,118,761.27
  5. Step 5: Solve for x
    x = 966,181,118,761.27/654,706.13
  6. Step 6: Final answer
    x = 1,475,747.79

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Why These Related Problems?

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