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Finding the Third Proportional to 568,849.50 and 1,218,661.88

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Solution

The third proportional to 568,849.50 and 1,218,661.88 is: 2,610,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,849.50 : 1,218,661.88 = 1,218,661.88 : x
  2. Step 2: Convert to fraction form
    568,849.50/1,218,661.88 = 1,218,661.88/x
  3. Step 3: Cross multiply
    568,849.50x = 1,218,661.88 × 1,218,661.88
  4. Step 4: Simplify right side
    568,849.50x = 1,485,136,765,578.52
  5. Step 5: Solve for x
    x = 1,485,136,765,578.52/568,849.50
  6. Step 6: Final answer
    x = 2,610,772.74

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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.