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Finding the Third Proportional to 2,214,719 and 3,416,520

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Solution

The third proportional to 2,214,719 and 3,416,520 is: 5,270,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,719 : 3,416,520 = 3,416,520 : x
  2. Step 2: Convert to fraction form
    2,214,719/3,416,520 = 3,416,520/x
  3. Step 3: Cross multiply
    2,214,719x = 3,416,520 × 3,416,520
  4. Step 4: Simplify right side
    2,214,719x = 11,672,608,910,400
  5. Step 5: Solve for x
    x = 11,672,608,910,400/2,214,719
  6. Step 6: Final answer
    x = 5,270,469.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.