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Finding the Third Proportional to 447,967 and 967,251

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Solution

The third proportional to 447,967 and 967,251 is: 2,088,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,967 : 967,251 = 967,251 : x
  2. Step 2: Convert to fraction form
    447,967/967,251 = 967,251/x
  3. Step 3: Cross multiply
    447,967x = 967,251 × 967,251
  4. Step 4: Simplify right side
    447,967x = 935,574,497,001
  5. Step 5: Solve for x
    x = 935,574,497,001/447,967
  6. Step 6: Final answer
    x = 2,088,489.77

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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.