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Finding the Third Proportional to 454,341 and 991,211

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Solution

The third proportional to 454,341 and 991,211 is: 2,162,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,341 : 991,211 = 991,211 : x
  2. Step 2: Convert to fraction form
    454,341/991,211 = 991,211/x
  3. Step 3: Cross multiply
    454,341x = 991,211 × 991,211
  4. Step 4: Simplify right side
    454,341x = 982,499,246,521
  5. Step 5: Solve for x
    x = 982,499,246,521/454,341
  6. Step 6: Final answer
    x = 2,162,471.02

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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.