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Finding the Third Proportional to 568,865 and 1,218,694

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Solution

The third proportional to 568,865 and 1,218,694 is: 2,610,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,865 : 1,218,694 = 1,218,694 : x
  2. Step 2: Convert to fraction form
    568,865/1,218,694 = 1,218,694/x
  3. Step 3: Cross multiply
    568,865x = 1,218,694 × 1,218,694
  4. Step 4: Simplify right side
    568,865x = 1,485,215,065,636
  5. Step 5: Solve for x
    x = 1,485,215,065,636/568,865
  6. Step 6: Final answer
    x = 2,610,839.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.