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Finding the Third Proportional to 496,081.69 and 1,086,748.69

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Solution

The third proportional to 496,081.69 and 1,086,748.69 is: 2,380,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,081.69 : 1,086,748.69 = 1,086,748.69 : x
  2. Step 2: Convert to fraction form
    496,081.69/1,086,748.69 = 1,086,748.69/x
  3. Step 3: Cross multiply
    496,081.69x = 1,086,748.69 × 1,086,748.69
  4. Step 4: Simplify right side
    496,081.69x = 1,181,022,709,782.97
  5. Step 5: Solve for x
    x = 1,181,022,709,782.97/496,081.69
  6. Step 6: Final answer
    x = 2,380,702.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.