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Finding the Third Proportional to 652,671 and 1,383,750

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Solution

The third proportional to 652,671 and 1,383,750 is: 2,933,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,671 : 1,383,750 = 1,383,750 : x
  2. Step 2: Convert to fraction form
    652,671/1,383,750 = 1,383,750/x
  3. Step 3: Cross multiply
    652,671x = 1,383,750 × 1,383,750
  4. Step 4: Simplify right side
    652,671x = 1,914,764,062,500
  5. Step 5: Solve for x
    x = 1,914,764,062,500/652,671
  6. Step 6: Final answer
    x = 2,933,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.