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Finding the Third Proportional to 442,885 and 969,936

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Solution

The third proportional to 442,885 and 969,936 is: 2,124,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,885 : 969,936 = 969,936 : x
  2. Step 2: Convert to fraction form
    442,885/969,936 = 969,936/x
  3. Step 3: Cross multiply
    442,885x = 969,936 × 969,936
  4. Step 4: Simplify right side
    442,885x = 940,775,844,096
  5. Step 5: Solve for x
    x = 940,775,844,096/442,885
  6. Step 6: Final answer
    x = 2,124,198.93

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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.