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Finding the Third Proportional to 787,274.44 and 1,686,480.75

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Solution

The third proportional to 787,274.44 and 1,686,480.75 is: 3,612,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,274.44 : 1,686,480.75 = 1,686,480.75 : x
  2. Step 2: Convert to fraction form
    787,274.44/1,686,480.75 = 1,686,480.75/x
  3. Step 3: Cross multiply
    787,274.44x = 1,686,480.75 × 1,686,480.75
  4. Step 4: Simplify right side
    787,274.44x = 2,844,217,320,120.56
  5. Step 5: Solve for x
    x = 2,844,217,320,120.56/787,274.44
  6. Step 6: Final answer
    x = 3,612,739.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.