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Finding the Third Proportional to 568,194.75 and 1,226,523.52

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Solution

The third proportional to 568,194.75 and 1,226,523.52 is: 2,647,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,194.75 : 1,226,523.52 = 1,226,523.52 : x
  2. Step 2: Convert to fraction form
    568,194.75/1,226,523.52 = 1,226,523.52/x
  3. Step 3: Cross multiply
    568,194.75x = 1,226,523.52 × 1,226,523.52
  4. Step 4: Simplify right side
    568,194.75x = 1,504,359,934,381.11
  5. Step 5: Solve for x
    x = 1,504,359,934,381.11/568,194.75
  6. Step 6: Final answer
    x = 2,647,613.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.