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Finding the Third Proportional to 3,942,434.25 and 5,763,978

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Solution

The third proportional to 3,942,434.25 and 5,763,978 is: 8,427,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942,434.25 : 5,763,978 = 5,763,978 : x
  2. Step 2: Convert to fraction form
    3,942,434.25/5,763,978 = 5,763,978/x
  3. Step 3: Cross multiply
    3,942,434.25x = 5,763,978 × 5,763,978
  4. Step 4: Simplify right side
    3,942,434.25x = 33,223,442,384,484
  5. Step 5: Solve for x
    x = 33,223,442,384,484/3,942,434.25
  6. Step 6: Final answer
    x = 8,427,139.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.