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Finding the Third Proportional to 2,906,174 and 3,989,385

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Solution

The third proportional to 2,906,174 and 3,989,385 is: 5,476,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,174 : 3,989,385 = 3,989,385 : x
  2. Step 2: Convert to fraction form
    2,906,174/3,989,385 = 3,989,385/x
  3. Step 3: Cross multiply
    2,906,174x = 3,989,385 × 3,989,385
  4. Step 4: Simplify right side
    2,906,174x = 15,915,192,678,225
  5. Step 5: Solve for x
    x = 15,915,192,678,225/2,906,174
  6. Step 6: Final answer
    x = 5,476,338.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.