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Finding the Third Proportional to 454,272 and 988,086

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Solution

The third proportional to 454,272 and 988,086 is: 2,149,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,272 : 988,086 = 988,086 : x
  2. Step 2: Convert to fraction form
    454,272/988,086 = 988,086/x
  3. Step 3: Cross multiply
    454,272x = 988,086 × 988,086
  4. Step 4: Simplify right side
    454,272x = 976,313,943,396
  5. Step 5: Solve for x
    x = 976,313,943,396/454,272
  6. Step 6: Final answer
    x = 2,149,183.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.