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Finding the Third Proportional to 1,411,193 and 2,149,973

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Solution

The third proportional to 1,411,193 and 2,149,973 is: 3,275,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,193 : 2,149,973 = 2,149,973 : x
  2. Step 2: Convert to fraction form
    1,411,193/2,149,973 = 2,149,973/x
  3. Step 3: Cross multiply
    1,411,193x = 2,149,973 × 2,149,973
  4. Step 4: Simplify right side
    1,411,193x = 4,622,383,900,729
  5. Step 5: Solve for x
    x = 4,622,383,900,729/1,411,193
  6. Step 6: Final answer
    x = 3,275,515.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.