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Finding the Third Proportional to 426,589 and 905,665

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Solution

The third proportional to 426,589 and 905,665 is: 1,922,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,589 : 905,665 = 905,665 : x
  2. Step 2: Convert to fraction form
    426,589/905,665 = 905,665/x
  3. Step 3: Cross multiply
    426,589x = 905,665 × 905,665
  4. Step 4: Simplify right side
    426,589x = 820,229,092,225
  5. Step 5: Solve for x
    x = 820,229,092,225/426,589
  6. Step 6: Final answer
    x = 1,922,761.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.