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Finding the Third Proportional to 680,869 and 1,024,241

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Solution

The third proportional to 680,869 and 1,024,241 is: 1,540,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,869 : 1,024,241 = 1,024,241 : x
  2. Step 2: Convert to fraction form
    680,869/1,024,241 = 1,024,241/x
  3. Step 3: Cross multiply
    680,869x = 1,024,241 × 1,024,241
  4. Step 4: Simplify right side
    680,869x = 1,049,069,626,081
  5. Step 5: Solve for x
    x = 1,049,069,626,081/680,869
  6. Step 6: Final answer
    x = 1,540,780.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.