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Finding the Third Proportional to 1,826,016 and 2,744,544

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Solution

The third proportional to 1,826,016 and 2,744,544 is: 4,125,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,016 : 2,744,544 = 2,744,544 : x
  2. Step 2: Convert to fraction form
    1,826,016/2,744,544 = 2,744,544/x
  3. Step 3: Cross multiply
    1,826,016x = 2,744,544 × 2,744,544
  4. Step 4: Simplify right side
    1,826,016x = 7,532,521,767,936
  5. Step 5: Solve for x
    x = 7,532,521,767,936/1,826,016
  6. Step 6: Final answer
    x = 4,125,112.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.