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Finding the Third Proportional to 443,898 and 993,204

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Solution

The third proportional to 443,898 and 993,204 is: 2,222,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,898 : 993,204 = 993,204 : x
  2. Step 2: Convert to fraction form
    443,898/993,204 = 993,204/x
  3. Step 3: Cross multiply
    443,898x = 993,204 × 993,204
  4. Step 4: Simplify right side
    443,898x = 986,454,185,616
  5. Step 5: Solve for x
    x = 986,454,185,616/443,898
  6. Step 6: Final answer
    x = 2,222,254.18

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.