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Finding the Third Proportional to 441,322 and 952,612

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Solution

The third proportional to 441,322 and 952,612 is: 2,056,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,322 : 952,612 = 952,612 : x
  2. Step 2: Convert to fraction form
    441,322/952,612 = 952,612/x
  3. Step 3: Cross multiply
    441,322x = 952,612 × 952,612
  4. Step 4: Simplify right side
    441,322x = 907,469,622,544
  5. Step 5: Solve for x
    x = 907,469,622,544/441,322
  6. Step 6: Final answer
    x = 2,056,252.86

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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.