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Finding the Third Proportional to 2,761,654 and 5,907,134

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Solution

The third proportional to 2,761,654 and 5,907,134 is: 12,635,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761,654 : 5,907,134 = 5,907,134 : x
  2. Step 2: Convert to fraction form
    2,761,654/5,907,134 = 5,907,134/x
  3. Step 3: Cross multiply
    2,761,654x = 5,907,134 × 5,907,134
  4. Step 4: Simplify right side
    2,761,654x = 34,894,232,093,956
  5. Step 5: Solve for x
    x = 34,894,232,093,956/2,761,654
  6. Step 6: Final answer
    x = 12,635,265.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.