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Finding the Third Proportional to 998,460 and 2,154,372

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Solution

The third proportional to 998,460 and 2,154,372 is: 4,648,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,460 : 2,154,372 = 2,154,372 : x
  2. Step 2: Convert to fraction form
    998,460/2,154,372 = 2,154,372/x
  3. Step 3: Cross multiply
    998,460x = 2,154,372 × 2,154,372
  4. Step 4: Simplify right side
    998,460x = 4,641,318,714,384
  5. Step 5: Solve for x
    x = 4,641,318,714,384/998,460
  6. Step 6: Final answer
    x = 4,648,477.37

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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.