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Finding the Third Proportional to 768,982.99 and 1,682,716.15

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Solution

The third proportional to 768,982.99 and 1,682,716.15 is: 3,682,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,982.99 : 1,682,716.15 = 1,682,716.15 : x
  2. Step 2: Convert to fraction form
    768,982.99/1,682,716.15 = 1,682,716.15/x
  3. Step 3: Cross multiply
    768,982.99x = 1,682,716.15 × 1,682,716.15
  4. Step 4: Simplify right side
    768,982.99x = 2,831,533,636,212.33
  5. Step 5: Solve for x
    x = 2,831,533,636,212.33/768,982.99
  6. Step 6: Final answer
    x = 3,682,179.79

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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.