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Finding the Third Proportional to 874,812 and 1,914,216

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Solution

The third proportional to 874,812 and 1,914,216 is: 4,188,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,812 : 1,914,216 = 1,914,216 : x
  2. Step 2: Convert to fraction form
    874,812/1,914,216 = 1,914,216/x
  3. Step 3: Cross multiply
    874,812x = 1,914,216 × 1,914,216
  4. Step 4: Simplify right side
    874,812x = 3,664,222,894,656
  5. Step 5: Solve for x
    x = 3,664,222,894,656/874,812
  6. Step 6: Final answer
    x = 4,188,583.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.