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Finding the Third Proportional to 2,229,665 and 3,416,399

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Solution

The third proportional to 2,229,665 and 3,416,399 is: 5,234,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,665 : 3,416,399 = 3,416,399 : x
  2. Step 2: Convert to fraction form
    2,229,665/3,416,399 = 3,416,399/x
  3. Step 3: Cross multiply
    2,229,665x = 3,416,399 × 3,416,399
  4. Step 4: Simplify right side
    2,229,665x = 11,671,782,127,201
  5. Step 5: Solve for x
    x = 11,671,782,127,201/2,229,665
  6. Step 6: Final answer
    x = 5,234,769.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.