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Finding the Third Proportional to 404,940 and 889,234

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Solution

The third proportional to 404,940 and 889,234 is: 1,952,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,940 : 889,234 = 889,234 : x
  2. Step 2: Convert to fraction form
    404,940/889,234 = 889,234/x
  3. Step 3: Cross multiply
    404,940x = 889,234 × 889,234
  4. Step 4: Simplify right side
    404,940x = 790,737,106,756
  5. Step 5: Solve for x
    x = 790,737,106,756/404,940
  6. Step 6: Final answer
    x = 1,952,726.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.