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Finding the Third Proportional to 419,817 and 905,964

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Solution

The third proportional to 419,817 and 905,964 is: 1,955,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,817 : 905,964 = 905,964 : x
  2. Step 2: Convert to fraction form
    419,817/905,964 = 905,964/x
  3. Step 3: Cross multiply
    419,817x = 905,964 × 905,964
  4. Step 4: Simplify right side
    419,817x = 820,770,769,296
  5. Step 5: Solve for x
    x = 820,770,769,296/419,817
  6. Step 6: Final answer
    x = 1,955,067.97

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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.