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Finding the Third Proportional to 441,504 and 982,941

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Solution

The third proportional to 441,504 and 982,941 is: 2,188,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,504 : 982,941 = 982,941 : x
  2. Step 2: Convert to fraction form
    441,504/982,941 = 982,941/x
  3. Step 3: Cross multiply
    441,504x = 982,941 × 982,941
  4. Step 4: Simplify right side
    441,504x = 966,173,009,481
  5. Step 5: Solve for x
    x = 966,173,009,481/441,504
  6. Step 6: Final answer
    x = 2,188,367.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.