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Finding the Third Proportional to 1,821,105 and 3,933,999

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Solution

The third proportional to 1,821,105 and 3,933,999 is: 8,498,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,105 : 3,933,999 = 3,933,999 : x
  2. Step 2: Convert to fraction form
    1,821,105/3,933,999 = 3,933,999/x
  3. Step 3: Cross multiply
    1,821,105x = 3,933,999 × 3,933,999
  4. Step 4: Simplify right side
    1,821,105x = 15,476,348,132,001
  5. Step 5: Solve for x
    x = 15,476,348,132,001/1,821,105
  6. Step 6: Final answer
    x = 8,498,328.29

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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.