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Finding the Third Proportional to 1,397,866 and 3,285,769

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Solution

The third proportional to 1,397,866 and 3,285,769 is: 7,723,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,866 : 3,285,769 = 3,285,769 : x
  2. Step 2: Convert to fraction form
    1,397,866/3,285,769 = 3,285,769/x
  3. Step 3: Cross multiply
    1,397,866x = 3,285,769 × 3,285,769
  4. Step 4: Simplify right side
    1,397,866x = 10,796,277,921,361
  5. Step 5: Solve for x
    x = 10,796,277,921,361/1,397,866
  6. Step 6: Final answer
    x = 7,723,399.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.