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Finding the Third Proportional to 2,942,092 and 4,498,755

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Solution

The third proportional to 2,942,092 and 4,498,755 is: 6,879,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,092 : 4,498,755 = 4,498,755 : x
  2. Step 2: Convert to fraction form
    2,942,092/4,498,755 = 4,498,755/x
  3. Step 3: Cross multiply
    2,942,092x = 4,498,755 × 4,498,755
  4. Step 4: Simplify right side
    2,942,092x = 20,238,796,550,025
  5. Step 5: Solve for x
    x = 20,238,796,550,025/2,942,092
  6. Step 6: Final answer
    x = 6,879,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.