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Finding the Third Proportional to 2,229,456 and 3,416,128

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Solution

The third proportional to 2,229,456 and 3,416,128 is: 5,234,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,456 : 3,416,128 = 3,416,128 : x
  2. Step 2: Convert to fraction form
    2,229,456/3,416,128 = 3,416,128/x
  3. Step 3: Cross multiply
    2,229,456x = 3,416,128 × 3,416,128
  4. Step 4: Simplify right side
    2,229,456x = 11,669,930,512,384
  5. Step 5: Solve for x
    x = 11,669,930,512,384/2,229,456
  6. Step 6: Final answer
    x = 5,234,429.62

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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.