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Finding the Third Proportional to 451,640.25 and 991,842.75

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Solution

The third proportional to 451,640.25 and 991,842.75 is: 2,178,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,640.25 : 991,842.75 = 991,842.75 : x
  2. Step 2: Convert to fraction form
    451,640.25/991,842.75 = 991,842.75/x
  3. Step 3: Cross multiply
    451,640.25x = 991,842.75 × 991,842.75
  4. Step 4: Simplify right side
    451,640.25x = 983,752,040,727.56
  5. Step 5: Solve for x
    x = 983,752,040,727.56/451,640.25
  6. Step 6: Final answer
    x = 2,178,176.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.