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Finding the Third Proportional to 1,839,784 and 2,741,728

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Solution

The third proportional to 1,839,784 and 2,741,728 is: 4,085,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,784 : 2,741,728 = 2,741,728 : x
  2. Step 2: Convert to fraction form
    1,839,784/2,741,728 = 2,741,728/x
  3. Step 3: Cross multiply
    1,839,784x = 2,741,728 × 2,741,728
  4. Step 4: Simplify right side
    1,839,784x = 7,517,072,425,984
  5. Step 5: Solve for x
    x = 7,517,072,425,984/1,839,784
  6. Step 6: Final answer
    x = 4,085,845.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.