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Finding the Third Proportional to 414,220 and 887,422

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Solution

The third proportional to 414,220 and 887,422 is: 1,901,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,220 : 887,422 = 887,422 : x
  2. Step 2: Convert to fraction form
    414,220/887,422 = 887,422/x
  3. Step 3: Cross multiply
    414,220x = 887,422 × 887,422
  4. Step 4: Simplify right side
    414,220x = 787,517,806,084
  5. Step 5: Solve for x
    x = 787,517,806,084/414,220
  6. Step 6: Final answer
    x = 1,901,206.62

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Why These Related Problems?

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