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Finding the Third Proportional to 423,757 and 914,734

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Solution

The third proportional to 423,757 and 914,734 is: 1,974,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,757 : 914,734 = 914,734 : x
  2. Step 2: Convert to fraction form
    423,757/914,734 = 914,734/x
  3. Step 3: Cross multiply
    423,757x = 914,734 × 914,734
  4. Step 4: Simplify right side
    423,757x = 836,738,290,756
  5. Step 5: Solve for x
    x = 836,738,290,756/423,757
  6. Step 6: Final answer
    x = 1,974,571.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.