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Finding the Third Proportional to 2,143,728 and 4,463,865

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Solution

The third proportional to 2,143,728 and 4,463,865 is: 9,295,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,728 : 4,463,865 = 4,463,865 : x
  2. Step 2: Convert to fraction form
    2,143,728/4,463,865 = 4,463,865/x
  3. Step 3: Cross multiply
    2,143,728x = 4,463,865 × 4,463,865
  4. Step 4: Simplify right side
    2,143,728x = 19,926,090,738,225
  5. Step 5: Solve for x
    x = 19,926,090,738,225/2,143,728
  6. Step 6: Final answer
    x = 9,295,064.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.