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Finding the Third Proportional to 454,453 and 988,711

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Solution

The third proportional to 454,453 and 988,711 is: 2,151,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,453 : 988,711 = 988,711 : x
  2. Step 2: Convert to fraction form
    454,453/988,711 = 988,711/x
  3. Step 3: Cross multiply
    454,453x = 988,711 × 988,711
  4. Step 4: Simplify right side
    454,453x = 977,549,441,521
  5. Step 5: Solve for x
    x = 977,549,441,521/454,453
  6. Step 6: Final answer
    x = 2,151,046.29

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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.