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Finding the Third Proportional to 457,791.75 and 1,028,166.75

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Solution

The third proportional to 457,791.75 and 1,028,166.75 is: 2,309,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,791.75 : 1,028,166.75 = 1,028,166.75 : x
  2. Step 2: Convert to fraction form
    457,791.75/1,028,166.75 = 1,028,166.75/x
  3. Step 3: Cross multiply
    457,791.75x = 1,028,166.75 × 1,028,166.75
  4. Step 4: Simplify right side
    457,791.75x = 1,057,126,865,805.56
  5. Step 5: Solve for x
    x = 1,057,126,865,805.56/457,791.75
  6. Step 6: Final answer
    x = 2,309,187.24

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.