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Finding the Third Proportional to 443,404 and 969,622

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Solution

The third proportional to 443,404 and 969,622 is: 2,120,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,404 : 969,622 = 969,622 : x
  2. Step 2: Convert to fraction form
    443,404/969,622 = 969,622/x
  3. Step 3: Cross multiply
    443,404x = 969,622 × 969,622
  4. Step 4: Simplify right side
    443,404x = 940,166,822,884
  5. Step 5: Solve for x
    x = 940,166,822,884/443,404
  6. Step 6: Final answer
    x = 2,120,339.07

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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.