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Finding the Third Proportional to 414,570 and 878,961

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Solution

The third proportional to 414,570 and 878,961 is: 1,863,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,570 : 878,961 = 878,961 : x
  2. Step 2: Convert to fraction form
    414,570/878,961 = 878,961/x
  3. Step 3: Cross multiply
    414,570x = 878,961 × 878,961
  4. Step 4: Simplify right side
    414,570x = 772,572,439,521
  5. Step 5: Solve for x
    x = 772,572,439,521/414,570
  6. Step 6: Final answer
    x = 1,863,551.24

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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.