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Finding the Third Proportional to 650,234 and 1,396,341

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Solution

The third proportional to 650,234 and 1,396,341 is: 2,998,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,234 : 1,396,341 = 1,396,341 : x
  2. Step 2: Convert to fraction form
    650,234/1,396,341 = 1,396,341/x
  3. Step 3: Cross multiply
    650,234x = 1,396,341 × 1,396,341
  4. Step 4: Simplify right side
    650,234x = 1,949,768,188,281
  5. Step 5: Solve for x
    x = 1,949,768,188,281/650,234
  6. Step 6: Final answer
    x = 2,998,563.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.