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Finding the Third Proportional to 2,229,393 and 3,416,049

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Solution

The third proportional to 2,229,393 and 3,416,049 is: 5,234,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,393 : 3,416,049 = 3,416,049 : x
  2. Step 2: Convert to fraction form
    2,229,393/3,416,049 = 3,416,049/x
  3. Step 3: Cross multiply
    2,229,393x = 3,416,049 × 3,416,049
  4. Step 4: Simplify right side
    2,229,393x = 11,669,390,770,401
  5. Step 5: Solve for x
    x = 11,669,390,770,401/2,229,393
  6. Step 6: Final answer
    x = 5,234,335.43

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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.