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Finding the Third Proportional to 2,165,228 and 3,027,134

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Solution

The third proportional to 2,165,228 and 3,027,134 is: 4,232,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,228 : 3,027,134 = 3,027,134 : x
  2. Step 2: Convert to fraction form
    2,165,228/3,027,134 = 3,027,134/x
  3. Step 3: Cross multiply
    2,165,228x = 3,027,134 × 3,027,134
  4. Step 4: Simplify right side
    2,165,228x = 9,163,540,253,956
  5. Step 5: Solve for x
    x = 9,163,540,253,956/2,165,228
  6. Step 6: Final answer
    x = 4,232,136.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.