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Finding the Third Proportional to 447,990 and 967,241

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Solution

The third proportional to 447,990 and 967,241 is: 2,088,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,990 : 967,241 = 967,241 : x
  2. Step 2: Convert to fraction form
    447,990/967,241 = 967,241/x
  3. Step 3: Cross multiply
    447,990x = 967,241 × 967,241
  4. Step 4: Simplify right side
    447,990x = 935,555,152,081
  5. Step 5: Solve for x
    x = 935,555,152,081/447,990
  6. Step 6: Final answer
    x = 2,088,339.36

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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.