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Finding the Third Proportional to 2,021,211 and 2,972,665

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Solution

The third proportional to 2,021,211 and 2,972,665 is: 4,372,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,211 : 2,972,665 = 2,972,665 : x
  2. Step 2: Convert to fraction form
    2,021,211/2,972,665 = 2,972,665/x
  3. Step 3: Cross multiply
    2,021,211x = 2,972,665 × 2,972,665
  4. Step 4: Simplify right side
    2,021,211x = 8,836,737,202,225
  5. Step 5: Solve for x
    x = 8,836,737,202,225/2,021,211
  6. Step 6: Final answer
    x = 4,372,001.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.