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Finding the Third Proportional to 414,571 and 878,962

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Solution

The third proportional to 414,571 and 878,962 is: 1,863,550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,571 : 878,962 = 878,962 : x
  2. Step 2: Convert to fraction form
    414,571/878,962 = 878,962/x
  3. Step 3: Cross multiply
    414,571x = 878,962 × 878,962
  4. Step 4: Simplify right side
    414,571x = 772,574,197,444
  5. Step 5: Solve for x
    x = 772,574,197,444/414,571
  6. Step 6: Final answer
    x = 1,863,550.99

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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.