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Finding the Third Proportional to 3,781,059.75 and 5,811,760.13

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Solution

The third proportional to 3,781,059.75 and 5,811,760.13 is: 8,933,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,059.75 : 5,811,760.13 = 5,811,760.13 : x
  2. Step 2: Convert to fraction form
    3,781,059.75/5,811,760.13 = 5,811,760.13/x
  3. Step 3: Cross multiply
    3,781,059.75x = 5,811,760.13 × 5,811,760.13
  4. Step 4: Simplify right side
    3,781,059.75x = 33,776,555,750,540.02
  5. Step 5: Solve for x
    x = 33,776,555,750,540.02/3,781,059.75
  6. Step 6: Final answer
    x = 8,933,092.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.