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Finding the Third Proportional to 568,821.75 and 1,221,288

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Solution

The third proportional to 568,821.75 and 1,221,288 is: 2,622,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,821.75 : 1,221,288 = 1,221,288 : x
  2. Step 2: Convert to fraction form
    568,821.75/1,221,288 = 1,221,288/x
  3. Step 3: Cross multiply
    568,821.75x = 1,221,288 × 1,221,288
  4. Step 4: Simplify right side
    568,821.75x = 1,491,544,378,944
  5. Step 5: Solve for x
    x = 1,491,544,378,944/568,821.75
  6. Step 6: Final answer
    x = 2,622,164.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.