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Finding the Third Proportional to 647,082.42 and 984,067.42

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Solution

The third proportional to 647,082.42 and 984,067.42 is: 1,496,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,082.42 : 984,067.42 = 984,067.42 : x
  2. Step 2: Convert to fraction form
    647,082.42/984,067.42 = 984,067.42/x
  3. Step 3: Cross multiply
    647,082.42x = 984,067.42 × 984,067.42
  4. Step 4: Simplify right side
    647,082.42x = 968,388,683,107.68
  5. Step 5: Solve for x
    x = 968,388,683,107.68/647,082.42
  6. Step 6: Final answer
    x = 1,496,546.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.