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Finding the Third Proportional to 419,194 and 905,092

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Solution

The third proportional to 419,194 and 905,092 is: 1,954,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,194 : 905,092 = 905,092 : x
  2. Step 2: Convert to fraction form
    419,194/905,092 = 905,092/x
  3. Step 3: Cross multiply
    419,194x = 905,092 × 905,092
  4. Step 4: Simplify right side
    419,194x = 819,191,528,464
  5. Step 5: Solve for x
    x = 819,191,528,464/419,194
  6. Step 6: Final answer
    x = 1,954,206.23

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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.