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Finding the Third Proportional to 485,605.13 and 1,134,217.69

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Solution

The third proportional to 485,605.13 and 1,134,217.69 is: 2,649,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,605.13 : 1,134,217.69 = 1,134,217.69 : x
  2. Step 2: Convert to fraction form
    485,605.13/1,134,217.69 = 1,134,217.69/x
  3. Step 3: Cross multiply
    485,605.13x = 1,134,217.69 × 1,134,217.69
  4. Step 4: Simplify right side
    485,605.13x = 1,286,449,762,637.85
  5. Step 5: Solve for x
    x = 1,286,449,762,637.85/485,605.13
  6. Step 6: Final answer
    x = 2,649,168.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.