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Finding the Third Proportional to 768,969.70 and 1,682,759.81

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Solution

The third proportional to 768,969.70 and 1,682,759.81 is: 3,682,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,969.70 : 1,682,759.81 = 1,682,759.81 : x
  2. Step 2: Convert to fraction form
    768,969.70/1,682,759.81 = 1,682,759.81/x
  3. Step 3: Cross multiply
    768,969.70x = 1,682,759.81 × 1,682,759.81
  4. Step 4: Simplify right side
    768,969.70x = 2,831,680,586,565.04
  5. Step 5: Solve for x
    x = 2,831,680,586,565.04/768,969.70
  6. Step 6: Final answer
    x = 3,682,434.53

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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.