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Finding the Third Proportional to 441,990 and 941,652

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Solution

The third proportional to 441,990 and 941,652 is: 2,006,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,990 : 941,652 = 941,652 : x
  2. Step 2: Convert to fraction form
    441,990/941,652 = 941,652/x
  3. Step 3: Cross multiply
    441,990x = 941,652 × 941,652
  4. Step 4: Simplify right side
    441,990x = 886,708,489,104
  5. Step 5: Solve for x
    x = 886,708,489,104/441,990
  6. Step 6: Final answer
    x = 2,006,173.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.