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Finding the Third Proportional to 862,728 and 1,874,493

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Solution

The third proportional to 862,728 and 1,874,493 is: 4,072,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,728 : 1,874,493 = 1,874,493 : x
  2. Step 2: Convert to fraction form
    862,728/1,874,493 = 1,874,493/x
  3. Step 3: Cross multiply
    862,728x = 1,874,493 × 1,874,493
  4. Step 4: Simplify right side
    862,728x = 3,513,724,007,049
  5. Step 5: Solve for x
    x = 3,513,724,007,049/862,728
  6. Step 6: Final answer
    x = 4,072,806.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.