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Finding the Third Proportional to 831,589 and 1,787,406

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Solution

The third proportional to 831,589 and 1,787,406 is: 3,841,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,589 : 1,787,406 = 1,787,406 : x
  2. Step 2: Convert to fraction form
    831,589/1,787,406 = 1,787,406/x
  3. Step 3: Cross multiply
    831,589x = 1,787,406 × 1,787,406
  4. Step 4: Simplify right side
    831,589x = 3,194,820,208,836
  5. Step 5: Solve for x
    x = 3,194,820,208,836/831,589
  6. Step 6: Final answer
    x = 3,841,825.96

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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.