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Finding the Third Proportional to 568,000.69 and 1,215,791.44

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Solution

The third proportional to 568,000.69 and 1,215,791.44 is: 2,602,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,000.69 : 1,215,791.44 = 1,215,791.44 : x
  2. Step 2: Convert to fraction form
    568,000.69/1,215,791.44 = 1,215,791.44/x
  3. Step 3: Cross multiply
    568,000.69x = 1,215,791.44 × 1,215,791.44
  4. Step 4: Simplify right side
    568,000.69x = 1,478,148,819,498.32
  5. Step 5: Solve for x
    x = 1,478,148,819,498.32/568,000.69
  6. Step 6: Final answer
    x = 2,602,371.53

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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.