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Finding the Third Proportional to 621,544 and 1,361,204

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Solution

The third proportional to 621,544 and 1,361,204 is: 2,981,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,544 : 1,361,204 = 1,361,204 : x
  2. Step 2: Convert to fraction form
    621,544/1,361,204 = 1,361,204/x
  3. Step 3: Cross multiply
    621,544x = 1,361,204 × 1,361,204
  4. Step 4: Simplify right side
    621,544x = 1,852,876,329,616
  5. Step 5: Solve for x
    x = 1,852,876,329,616/621,544
  6. Step 6: Final answer
    x = 2,981,086.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.