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Finding the Third Proportional to 447,986 and 967,233

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Solution

The third proportional to 447,986 and 967,233 is: 2,088,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,986 : 967,233 = 967,233 : x
  2. Step 2: Convert to fraction form
    447,986/967,233 = 967,233/x
  3. Step 3: Cross multiply
    447,986x = 967,233 × 967,233
  4. Step 4: Simplify right side
    447,986x = 935,539,676,289
  5. Step 5: Solve for x
    x = 935,539,676,289/447,986
  6. Step 6: Final answer
    x = 2,088,323.47

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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.