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Finding the Third Proportional to 2,498,001 and 5,894,919

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Solution

The third proportional to 2,498,001 and 5,894,919 is: 13,911,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498,001 : 5,894,919 = 5,894,919 : x
  2. Step 2: Convert to fraction form
    2,498,001/5,894,919 = 5,894,919/x
  3. Step 3: Cross multiply
    2,498,001x = 5,894,919 × 5,894,919
  4. Step 4: Simplify right side
    2,498,001x = 34,750,070,016,561
  5. Step 5: Solve for x
    x = 34,750,070,016,561/2,498,001
  6. Step 6: Final answer
    x = 13,911,151.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.