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Finding the Third Proportional to 831,817 and 1,188,636

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Solution

The third proportional to 831,817 and 1,188,636 is: 1,698,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,817 : 1,188,636 = 1,188,636 : x
  2. Step 2: Convert to fraction form
    831,817/1,188,636 = 1,188,636/x
  3. Step 3: Cross multiply
    831,817x = 1,188,636 × 1,188,636
  4. Step 4: Simplify right side
    831,817x = 1,412,855,540,496
  5. Step 5: Solve for x
    x = 1,412,855,540,496/831,817
  6. Step 6: Final answer
    x = 1,698,517.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.