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Finding the Third Proportional to 704,791.13 and 1,073,710.69

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Solution

The third proportional to 704,791.13 and 1,073,710.69 is: 1,635,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,791.13 : 1,073,710.69 = 1,073,710.69 : x
  2. Step 2: Convert to fraction form
    704,791.13/1,073,710.69 = 1,073,710.69/x
  3. Step 3: Cross multiply
    704,791.13x = 1,073,710.69 × 1,073,710.69
  4. Step 4: Simplify right side
    704,791.13x = 1,152,854,640,451.72
  5. Step 5: Solve for x
    x = 1,152,854,640,451.72/704,791.13
  6. Step 6: Final answer
    x = 1,635,739.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.