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Finding the Third Proportional to 443,414 and 969,642

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Solution

The third proportional to 443,414 and 969,642 is: 2,120,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,414 : 969,642 = 969,642 : x
  2. Step 2: Convert to fraction form
    443,414/969,642 = 969,642/x
  3. Step 3: Cross multiply
    443,414x = 969,642 × 969,642
  4. Step 4: Simplify right side
    443,414x = 940,205,608,164
  5. Step 5: Solve for x
    x = 940,205,608,164/443,414
  6. Step 6: Final answer
    x = 2,120,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.