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Finding the Third Proportional to 414,568 and 878,954

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Solution

The third proportional to 414,568 and 878,954 is: 1,863,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,568 : 878,954 = 878,954 : x
  2. Step 2: Convert to fraction form
    414,568/878,954 = 878,954/x
  3. Step 3: Cross multiply
    414,568x = 878,954 × 878,954
  4. Step 4: Simplify right side
    414,568x = 772,560,134,116
  5. Step 5: Solve for x
    x = 772,560,134,116/414,568
  6. Step 6: Final answer
    x = 1,863,530.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.