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Finding the Third Proportional to 998,418 and 2,154,296

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Solution

The third proportional to 998,418 and 2,154,296 is: 4,648,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,418 : 2,154,296 = 2,154,296 : x
  2. Step 2: Convert to fraction form
    998,418/2,154,296 = 2,154,296/x
  3. Step 3: Cross multiply
    998,418x = 2,154,296 × 2,154,296
  4. Step 4: Simplify right side
    998,418x = 4,640,991,255,616
  5. Step 5: Solve for x
    x = 4,640,991,255,616/998,418
  6. Step 6: Final answer
    x = 4,648,344.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.