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Finding the Third Proportional to 447,971 and 967,198

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Solution

The third proportional to 447,971 and 967,198 is: 2,088,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,971 : 967,198 = 967,198 : x
  2. Step 2: Convert to fraction form
    447,971/967,198 = 967,198/x
  3. Step 3: Cross multiply
    447,971x = 967,198 × 967,198
  4. Step 4: Simplify right side
    447,971x = 935,471,971,204
  5. Step 5: Solve for x
    x = 935,471,971,204/447,971
  6. Step 6: Final answer
    x = 2,088,242.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.