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Finding the Third Proportional to 568,867 and 1,218,698

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Solution

The third proportional to 568,867 and 1,218,698 is: 2,610,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,867 : 1,218,698 = 1,218,698 : x
  2. Step 2: Convert to fraction form
    568,867/1,218,698 = 1,218,698/x
  3. Step 3: Cross multiply
    568,867x = 1,218,698 × 1,218,698
  4. Step 4: Simplify right side
    568,867x = 1,485,224,815,204
  5. Step 5: Solve for x
    x = 1,485,224,815,204/568,867
  6. Step 6: Final answer
    x = 2,610,847.20

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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.