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Finding the Third Proportional to 2,397,902 and 5,017,494

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Solution

The third proportional to 2,397,902 and 5,017,494 is: 10,498,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,902 : 5,017,494 = 5,017,494 : x
  2. Step 2: Convert to fraction form
    2,397,902/5,017,494 = 5,017,494/x
  3. Step 3: Cross multiply
    2,397,902x = 5,017,494 × 5,017,494
  4. Step 4: Simplify right side
    2,397,902x = 25,175,246,040,036
  5. Step 5: Solve for x
    x = 25,175,246,040,036/2,397,902
  6. Step 6: Final answer
    x = 10,498,863.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.