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Finding the Third Proportional to 419,086 and 905,132

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Solution

The third proportional to 419,086 and 905,132 is: 1,954,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,086 : 905,132 = 905,132 : x
  2. Step 2: Convert to fraction form
    419,086/905,132 = 905,132/x
  3. Step 3: Cross multiply
    419,086x = 905,132 × 905,132
  4. Step 4: Simplify right side
    419,086x = 819,263,937,424
  5. Step 5: Solve for x
    x = 819,263,937,424/419,086
  6. Step 6: Final answer
    x = 1,954,882.62

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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.