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Finding the Third Proportional to 2,021,212 and 2,972,669

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Solution

The third proportional to 2,021,212 and 2,972,669 is: 4,372,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,212 : 2,972,669 = 2,972,669 : x
  2. Step 2: Convert to fraction form
    2,021,212/2,972,669 = 2,972,669/x
  3. Step 3: Cross multiply
    2,021,212x = 2,972,669 × 2,972,669
  4. Step 4: Simplify right side
    2,021,212x = 8,836,760,983,561
  5. Step 5: Solve for x
    x = 8,836,760,983,561/2,021,212
  6. Step 6: Final answer
    x = 4,372,010.94

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