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Finding the Third Proportional to 2,654,934 and 5,791,981

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Solution

The third proportional to 2,654,934 and 5,791,981 is: 12,635,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,934 : 5,791,981 = 5,791,981 : x
  2. Step 2: Convert to fraction form
    2,654,934/5,791,981 = 5,791,981/x
  3. Step 3: Cross multiply
    2,654,934x = 5,791,981 × 5,791,981
  4. Step 4: Simplify right side
    2,654,934x = 33,547,043,904,361
  5. Step 5: Solve for x
    x = 33,547,043,904,361/2,654,934
  6. Step 6: Final answer
    x = 12,635,735.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.