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Finding the Third Proportional to 447,982 and 967,225

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Solution

The third proportional to 447,982 and 967,225 is: 2,088,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,982 : 967,225 = 967,225 : x
  2. Step 2: Convert to fraction form
    447,982/967,225 = 967,225/x
  3. Step 3: Cross multiply
    447,982x = 967,225 × 967,225
  4. Step 4: Simplify right side
    447,982x = 935,524,200,625
  5. Step 5: Solve for x
    x = 935,524,200,625/447,982
  6. Step 6: Final answer
    x = 2,088,307.57

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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.