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Finding the Third Proportional to 969,845 and 2,107,561

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Solution

The third proportional to 969,845 and 2,107,561 is: 4,579,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,845 : 2,107,561 = 2,107,561 : x
  2. Step 2: Convert to fraction form
    969,845/2,107,561 = 2,107,561/x
  3. Step 3: Cross multiply
    969,845x = 2,107,561 × 2,107,561
  4. Step 4: Simplify right side
    969,845x = 4,441,813,368,721
  5. Step 5: Solve for x
    x = 4,441,813,368,721/969,845
  6. Step 6: Final answer
    x = 4,579,920.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.