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Finding the Third Proportional to 452,211 and 993,198

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Solution

The third proportional to 452,211 and 993,198 is: 2,181,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,211 : 993,198 = 993,198 : x
  2. Step 2: Convert to fraction form
    452,211/993,198 = 993,198/x
  3. Step 3: Cross multiply
    452,211x = 993,198 × 993,198
  4. Step 4: Simplify right side
    452,211x = 986,442,267,204
  5. Step 5: Solve for x
    x = 986,442,267,204/452,211
  6. Step 6: Final answer
    x = 2,181,376.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.