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Finding the Third Proportional to 3,829,765.50 and 5,929,791.75

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Solution

The third proportional to 3,829,765.50 and 5,929,791.75 is: 9,181,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,765.50 : 5,929,791.75 = 5,929,791.75 : x
  2. Step 2: Convert to fraction form
    3,829,765.50/5,929,791.75 = 5,929,791.75/x
  3. Step 3: Cross multiply
    3,829,765.50x = 5,929,791.75 × 5,929,791.75
  4. Step 4: Simplify right side
    3,829,765.50x = 35,162,430,198,368.06
  5. Step 5: Solve for x
    x = 35,162,430,198,368.06/3,829,765.50
  6. Step 6: Final answer
    x = 9,181,353.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.