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Finding the Third Proportional to 1,213,418 and 2,633,098

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Solution

The third proportional to 1,213,418 and 2,633,098 is: 5,713,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,418 : 2,633,098 = 2,633,098 : x
  2. Step 2: Convert to fraction form
    1,213,418/2,633,098 = 2,633,098/x
  3. Step 3: Cross multiply
    1,213,418x = 2,633,098 × 2,633,098
  4. Step 4: Simplify right side
    1,213,418x = 6,933,205,077,604
  5. Step 5: Solve for x
    x = 6,933,205,077,604/1,213,418
  6. Step 6: Final answer
    x = 5,713,781.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.