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Finding the Third Proportional to 1,904,704.13 and 4,067,724.75

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Solution

The third proportional to 1,904,704.13 and 4,067,724.75 is: 8,687,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,704.13 : 4,067,724.75 = 4,067,724.75 : x
  2. Step 2: Convert to fraction form
    1,904,704.13/4,067,724.75 = 4,067,724.75/x
  3. Step 3: Cross multiply
    1,904,704.13x = 4,067,724.75 × 4,067,724.75
  4. Step 4: Simplify right side
    1,904,704.13x = 16,546,384,641,762.56
  5. Step 5: Solve for x
    x = 16,546,384,641,762.56/1,904,704.13
  6. Step 6: Final answer
    x = 8,687,115.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.