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Finding the Third Proportional to 1,291,081.78 and 1,992,169.69

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Solution

The third proportional to 1,291,081.78 and 1,992,169.69 is: 3,073,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,081.78 : 1,992,169.69 = 1,992,169.69 : x
  2. Step 2: Convert to fraction form
    1,291,081.78/1,992,169.69 = 1,992,169.69/x
  3. Step 3: Cross multiply
    1,291,081.78x = 1,992,169.69 × 1,992,169.69
  4. Step 4: Simplify right side
    1,291,081.78x = 3,968,740,063,793.85
  5. Step 5: Solve for x
    x = 3,968,740,063,793.85/1,291,081.78
  6. Step 6: Final answer
    x = 3,073,964.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.