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Finding the Third Proportional to 2,140,227 and 4,457,601

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Solution

The third proportional to 2,140,227 and 4,457,601 is: 9,284,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,227 : 4,457,601 = 4,457,601 : x
  2. Step 2: Convert to fraction form
    2,140,227/4,457,601 = 4,457,601/x
  3. Step 3: Cross multiply
    2,140,227x = 4,457,601 × 4,457,601
  4. Step 4: Simplify right side
    2,140,227x = 19,870,206,675,201
  5. Step 5: Solve for x
    x = 19,870,206,675,201/2,140,227
  6. Step 6: Final answer
    x = 9,284,158.49

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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.