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Finding the Third Proportional to 3,782,884.50 and 6,022,252.13

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Solution

The third proportional to 3,782,884.50 and 6,022,252.13 is: 9,587,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,884.50 : 6,022,252.13 = 6,022,252.13 : x
  2. Step 2: Convert to fraction form
    3,782,884.50/6,022,252.13 = 6,022,252.13/x
  3. Step 3: Cross multiply
    3,782,884.50x = 6,022,252.13 × 6,022,252.13
  4. Step 4: Simplify right side
    3,782,884.50x = 36,267,520,657,067.02
  5. Step 5: Solve for x
    x = 36,267,520,657,067.02/3,782,884.50
  6. Step 6: Final answer
    x = 9,587,266.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.