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Finding the Third Proportional to 419,813 and 905,956

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Solution

The third proportional to 419,813 and 905,956 is: 1,955,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,813 : 905,956 = 905,956 : x
  2. Step 2: Convert to fraction form
    419,813/905,956 = 905,956/x
  3. Step 3: Cross multiply
    419,813x = 905,956 × 905,956
  4. Step 4: Simplify right side
    419,813x = 820,756,273,936
  5. Step 5: Solve for x
    x = 820,756,273,936/419,813
  6. Step 6: Final answer
    x = 1,955,052.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.