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Finding the Third Proportional to 419,786 and 905,910

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Solution

The third proportional to 419,786 and 905,910 is: 1,954,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,786 : 905,910 = 905,910 : x
  2. Step 2: Convert to fraction form
    419,786/905,910 = 905,910/x
  3. Step 3: Cross multiply
    419,786x = 905,910 × 905,910
  4. Step 4: Simplify right side
    419,786x = 820,672,928,100
  5. Step 5: Solve for x
    x = 820,672,928,100/419,786
  6. Step 6: Final answer
    x = 1,954,979.27

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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.