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Finding the Third Proportional to 649,867 and 950,734

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Solution

The third proportional to 649,867 and 950,734 is: 1,390,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,867 : 950,734 = 950,734 : x
  2. Step 2: Convert to fraction form
    649,867/950,734 = 950,734/x
  3. Step 3: Cross multiply
    649,867x = 950,734 × 950,734
  4. Step 4: Simplify right side
    649,867x = 903,895,138,756
  5. Step 5: Solve for x
    x = 903,895,138,756/649,867
  6. Step 6: Final answer
    x = 1,390,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.