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Finding the Third Proportional to 687,717 and 1,493,589

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Solution

The third proportional to 687,717 and 1,493,589 is: 3,243,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,717 : 1,493,589 = 1,493,589 : x
  2. Step 2: Convert to fraction form
    687,717/1,493,589 = 1,493,589/x
  3. Step 3: Cross multiply
    687,717x = 1,493,589 × 1,493,589
  4. Step 4: Simplify right side
    687,717x = 2,230,808,100,921
  5. Step 5: Solve for x
    x = 2,230,808,100,921/687,717
  6. Step 6: Final answer
    x = 3,243,787.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.