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Finding the Third Proportional to 1,542,578 and 3,160,324

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Solution

The third proportional to 1,542,578 and 3,160,324 is: 6,474,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,578 : 3,160,324 = 3,160,324 : x
  2. Step 2: Convert to fraction form
    1,542,578/3,160,324 = 3,160,324/x
  3. Step 3: Cross multiply
    1,542,578x = 3,160,324 × 3,160,324
  4. Step 4: Simplify right side
    1,542,578x = 9,987,647,784,976
  5. Step 5: Solve for x
    x = 9,987,647,784,976/1,542,578
  6. Step 6: Final answer
    x = 6,474,646.85

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.