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Finding the Third Proportional to 412,122 and 878,679.25

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Solution

The third proportional to 412,122 and 878,679.25 is: 1,873,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,122 : 878,679.25 = 878,679.25 : x
  2. Step 2: Convert to fraction form
    412,122/878,679.25 = 878,679.25/x
  3. Step 3: Cross multiply
    412,122x = 878,679.25 × 878,679.25
  4. Step 4: Simplify right side
    412,122x = 772,077,224,380.56
  5. Step 5: Solve for x
    x = 772,077,224,380.56/412,122
  6. Step 6: Final answer
    x = 1,873,419.10

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.