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Finding the Third Proportional to 769,556.25 and 1,686,870

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Solution

The third proportional to 769,556.25 and 1,686,870 is: 3,697,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,556.25 : 1,686,870 = 1,686,870 : x
  2. Step 2: Convert to fraction form
    769,556.25/1,686,870 = 1,686,870/x
  3. Step 3: Cross multiply
    769,556.25x = 1,686,870 × 1,686,870
  4. Step 4: Simplify right side
    769,556.25x = 2,845,530,396,900
  5. Step 5: Solve for x
    x = 2,845,530,396,900/769,556.25
  6. Step 6: Final answer
    x = 3,697,624.96

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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.