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Finding the Third Proportional to 831,860 and 1,287,512

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Solution

The third proportional to 831,860 and 1,287,512 is: 1,992,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,860 : 1,287,512 = 1,287,512 : x
  2. Step 2: Convert to fraction form
    831,860/1,287,512 = 1,287,512/x
  3. Step 3: Cross multiply
    831,860x = 1,287,512 × 1,287,512
  4. Step 4: Simplify right side
    831,860x = 1,657,687,150,144
  5. Step 5: Solve for x
    x = 1,657,687,150,144/831,860
  6. Step 6: Final answer
    x = 1,992,747.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.