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Finding the Third Proportional to 454,338 and 991,188

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Solution

The third proportional to 454,338 and 991,188 is: 2,162,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,338 : 991,188 = 991,188 : x
  2. Step 2: Convert to fraction form
    454,338/991,188 = 991,188/x
  3. Step 3: Cross multiply
    454,338x = 991,188 × 991,188
  4. Step 4: Simplify right side
    454,338x = 982,453,651,344
  5. Step 5: Solve for x
    x = 982,453,651,344/454,338
  6. Step 6: Final answer
    x = 2,162,384.95

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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.