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Finding the Third Proportional to 627,384 and 1,480,812

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Solution

The third proportional to 627,384 and 1,480,812 is: 3,495,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,384 : 1,480,812 = 1,480,812 : x
  2. Step 2: Convert to fraction form
    627,384/1,480,812 = 1,480,812/x
  3. Step 3: Cross multiply
    627,384x = 1,480,812 × 1,480,812
  4. Step 4: Simplify right side
    627,384x = 2,192,804,179,344
  5. Step 5: Solve for x
    x = 2,192,804,179,344/627,384
  6. Step 6: Final answer
    x = 3,495,154.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.