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Finding the Third Proportional to 449,397 and 954,198

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Solution

The third proportional to 449,397 and 954,198 is: 2,026,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,397 : 954,198 = 954,198 : x
  2. Step 2: Convert to fraction form
    449,397/954,198 = 954,198/x
  3. Step 3: Cross multiply
    449,397x = 954,198 × 954,198
  4. Step 4: Simplify right side
    449,397x = 910,493,823,204
  5. Step 5: Solve for x
    x = 910,493,823,204/449,397
  6. Step 6: Final answer
    x = 2,026,034.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.