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Finding the Third Proportional to 476,828 and 992,450

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Solution

The third proportional to 476,828 and 992,450 is: 2,065,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,828 : 992,450 = 992,450 : x
  2. Step 2: Convert to fraction form
    476,828/992,450 = 992,450/x
  3. Step 3: Cross multiply
    476,828x = 992,450 × 992,450
  4. Step 4: Simplify right side
    476,828x = 984,957,002,500
  5. Step 5: Solve for x
    x = 984,957,002,500/476,828
  6. Step 6: Final answer
    x = 2,065,644.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.