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Finding the Third Proportional to 419,192 and 905,088

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Solution

The third proportional to 419,192 and 905,088 is: 1,954,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,192 : 905,088 = 905,088 : x
  2. Step 2: Convert to fraction form
    419,192/905,088 = 905,088/x
  3. Step 3: Cross multiply
    419,192x = 905,088 × 905,088
  4. Step 4: Simplify right side
    419,192x = 819,184,287,744
  5. Step 5: Solve for x
    x = 819,184,287,744/419,192
  6. Step 6: Final answer
    x = 1,954,198.29

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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.