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Finding the Third Proportional to 419,828 and 905,992

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Solution

The third proportional to 419,828 and 905,992 is: 1,955,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,828 : 905,992 = 905,992 : x
  2. Step 2: Convert to fraction form
    419,828/905,992 = 905,992/x
  3. Step 3: Cross multiply
    419,828x = 905,992 × 905,992
  4. Step 4: Simplify right side
    419,828x = 820,821,504,064
  5. Step 5: Solve for x
    x = 820,821,504,064/419,828
  6. Step 6: Final answer
    x = 1,955,137.59

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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.