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Finding the Third Proportional to 1,262,144 and 2,716,744

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Solution

The third proportional to 1,262,144 and 2,716,744 is: 5,847,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,144 : 2,716,744 = 2,716,744 : x
  2. Step 2: Convert to fraction form
    1,262,144/2,716,744 = 2,716,744/x
  3. Step 3: Cross multiply
    1,262,144x = 2,716,744 × 2,716,744
  4. Step 4: Simplify right side
    1,262,144x = 7,380,697,961,536
  5. Step 5: Solve for x
    x = 7,380,697,961,536/1,262,144
  6. Step 6: Final answer
    x = 5,847,746.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.