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Finding the Third Proportional to 1,192,974 and 1,806,837

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Solution

The third proportional to 1,192,974 and 1,806,837 is: 2,736,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,974 : 1,806,837 = 1,806,837 : x
  2. Step 2: Convert to fraction form
    1,192,974/1,806,837 = 1,806,837/x
  3. Step 3: Cross multiply
    1,192,974x = 1,806,837 × 1,806,837
  4. Step 4: Simplify right side
    1,192,974x = 3,264,659,944,569
  5. Step 5: Solve for x
    x = 3,264,659,944,569/1,192,974
  6. Step 6: Final answer
    x = 2,736,572.59

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Why These Related Problems?

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