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Finding the Third Proportional to 984,296 and 1,542,032

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Solution

The third proportional to 984,296 and 1,542,032 is: 2,415,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,296 : 1,542,032 = 1,542,032 : x
  2. Step 2: Convert to fraction form
    984,296/1,542,032 = 1,542,032/x
  3. Step 3: Cross multiply
    984,296x = 1,542,032 × 1,542,032
  4. Step 4: Simplify right side
    984,296x = 2,377,862,689,024
  5. Step 5: Solve for x
    x = 2,377,862,689,024/984,296
  6. Step 6: Final answer
    x = 2,415,800.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.