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Finding the Third Proportional to 2,397,924 and 5,017,534

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Solution

The third proportional to 2,397,924 and 5,017,534 is: 10,498,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,924 : 5,017,534 = 5,017,534 : x
  2. Step 2: Convert to fraction form
    2,397,924/5,017,534 = 5,017,534/x
  3. Step 3: Cross multiply
    2,397,924x = 5,017,534 × 5,017,534
  4. Step 4: Simplify right side
    2,397,924x = 25,175,647,441,156
  5. Step 5: Solve for x
    x = 25,175,647,441,156/2,397,924
  6. Step 6: Final answer
    x = 10,498,934.68

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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.