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Finding the Third Proportional to 938,420 and 1,454,286

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Solution

The third proportional to 938,420 and 1,454,286 is: 2,253,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,420 : 1,454,286 = 1,454,286 : x
  2. Step 2: Convert to fraction form
    938,420/1,454,286 = 1,454,286/x
  3. Step 3: Cross multiply
    938,420x = 1,454,286 × 1,454,286
  4. Step 4: Simplify right side
    938,420x = 2,114,947,769,796
  5. Step 5: Solve for x
    x = 2,114,947,769,796/938,420
  6. Step 6: Final answer
    x = 2,253,732.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.