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Finding the Third Proportional to 441,462 and 952,868

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Solution

The third proportional to 441,462 and 952,868 is: 2,056,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,462 : 952,868 = 952,868 : x
  2. Step 2: Convert to fraction form
    441,462/952,868 = 952,868/x
  3. Step 3: Cross multiply
    441,462x = 952,868 × 952,868
  4. Step 4: Simplify right side
    441,462x = 907,957,425,424
  5. Step 5: Solve for x
    x = 907,957,425,424/441,462
  6. Step 6: Final answer
    x = 2,056,705.73

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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.