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Finding the Third Proportional to 626,517 and 941,163

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Solution

The third proportional to 626,517 and 941,163 is: 1,413,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,517 : 941,163 = 941,163 : x
  2. Step 2: Convert to fraction form
    626,517/941,163 = 941,163/x
  3. Step 3: Cross multiply
    626,517x = 941,163 × 941,163
  4. Step 4: Simplify right side
    626,517x = 885,787,792,569
  5. Step 5: Solve for x
    x = 885,787,792,569/626,517
  6. Step 6: Final answer
    x = 1,413,828.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.