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Finding the Third Proportional to 801,042.75 and 1,239,917.25

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Solution

The third proportional to 801,042.75 and 1,239,917.25 is: 1,919,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,042.75 : 1,239,917.25 = 1,239,917.25 : x
  2. Step 2: Convert to fraction form
    801,042.75/1,239,917.25 = 1,239,917.25/x
  3. Step 3: Cross multiply
    801,042.75x = 1,239,917.25 × 1,239,917.25
  4. Step 4: Simplify right side
    801,042.75x = 1,537,394,786,847.56
  5. Step 5: Solve for x
    x = 1,537,394,786,847.56/801,042.75
  6. Step 6: Final answer
    x = 1,919,241.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.