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Finding the Third Proportional to 524,778.75 and 1,086,913.69

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Solution

The third proportional to 524,778.75 and 1,086,913.69 is: 2,251,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,778.75 : 1,086,913.69 = 1,086,913.69 : x
  2. Step 2: Convert to fraction form
    524,778.75/1,086,913.69 = 1,086,913.69/x
  3. Step 3: Cross multiply
    524,778.75x = 1,086,913.69 × 1,086,913.69
  4. Step 4: Simplify right side
    524,778.75x = 1,181,381,364,074.85
  5. Step 5: Solve for x
    x = 1,181,381,364,074.85/524,778.75
  6. Step 6: Final answer
    x = 2,251,198.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.