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Finding the Third Proportional to 419,208 and 905,120

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Solution

The third proportional to 419,208 and 905,120 is: 1,954,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,208 : 905,120 = 905,120 : x
  2. Step 2: Convert to fraction form
    419,208/905,120 = 905,120/x
  3. Step 3: Cross multiply
    419,208x = 905,120 × 905,120
  4. Step 4: Simplify right side
    419,208x = 819,242,214,400
  5. Step 5: Solve for x
    x = 819,242,214,400/419,208
  6. Step 6: Final answer
    x = 1,954,261.88

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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.