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Finding the Third Proportional to 843,500 and 1,819,864

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Solution

The third proportional to 843,500 and 1,819,864 is: 3,926,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,500 : 1,819,864 = 1,819,864 : x
  2. Step 2: Convert to fraction form
    843,500/1,819,864 = 1,819,864/x
  3. Step 3: Cross multiply
    843,500x = 1,819,864 × 1,819,864
  4. Step 4: Simplify right side
    843,500x = 3,311,904,978,496
  5. Step 5: Solve for x
    x = 3,311,904,978,496/843,500
  6. Step 6: Final answer
    x = 3,926,384.09

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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.