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Finding the Third Proportional to 426,954 and 919,882.50

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Solution

The third proportional to 426,954 and 919,882.50 is: 1,981,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,954 : 919,882.50 = 919,882.50 : x
  2. Step 2: Convert to fraction form
    426,954/919,882.50 = 919,882.50/x
  3. Step 3: Cross multiply
    426,954x = 919,882.50 × 919,882.50
  4. Step 4: Simplify right side
    426,954x = 846,183,813,806.25
  5. Step 5: Solve for x
    x = 846,183,813,806.25/426,954
  6. Step 6: Final answer
    x = 1,981,908.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.