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Finding the Third Proportional to 449,224 and 998,096

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Solution

The third proportional to 449,224 and 998,096 is: 2,217,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,224 : 998,096 = 998,096 : x
  2. Step 2: Convert to fraction form
    449,224/998,096 = 998,096/x
  3. Step 3: Cross multiply
    449,224x = 998,096 × 998,096
  4. Step 4: Simplify right side
    449,224x = 996,195,625,216
  5. Step 5: Solve for x
    x = 996,195,625,216/449,224
  6. Step 6: Final answer
    x = 2,217,592.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.