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Finding the Third Proportional to 419,832 and 906,000

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Solution

The third proportional to 419,832 and 906,000 is: 1,955,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832 : 906,000 = 906,000 : x
  2. Step 2: Convert to fraction form
    419,832/906,000 = 906,000/x
  3. Step 3: Cross multiply
    419,832x = 906,000 × 906,000
  4. Step 4: Simplify right side
    419,832x = 820,836,000,000
  5. Step 5: Solve for x
    x = 820,836,000,000/419,832
  6. Step 6: Final answer
    x = 1,955,153.49

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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.