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Finding the Third Proportional to 2,097,469 and 3,174,561

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Solution

The third proportional to 2,097,469 and 3,174,561 is: 4,804,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,469 : 3,174,561 = 3,174,561 : x
  2. Step 2: Convert to fraction form
    2,097,469/3,174,561 = 3,174,561/x
  3. Step 3: Cross multiply
    2,097,469x = 3,174,561 × 3,174,561
  4. Step 4: Simplify right side
    2,097,469x = 10,077,837,542,721
  5. Step 5: Solve for x
    x = 10,077,837,542,721/2,097,469
  6. Step 6: Final answer
    x = 4,804,761.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.