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Finding the Third Proportional to 806,208 and 1,757,568

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Solution

The third proportional to 806,208 and 1,757,568 is: 3,831,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,208 : 1,757,568 = 1,757,568 : x
  2. Step 2: Convert to fraction form
    806,208/1,757,568 = 1,757,568/x
  3. Step 3: Cross multiply
    806,208x = 1,757,568 × 1,757,568
  4. Step 4: Simplify right side
    806,208x = 3,089,045,274,624
  5. Step 5: Solve for x
    x = 3,089,045,274,624/806,208
  6. Step 6: Final answer
    x = 3,831,573.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.