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Finding the Third Proportional to 831,869 and 1,703,086

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Solution

The third proportional to 831,869 and 1,703,086 is: 3,486,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,869 : 1,703,086 = 1,703,086 : x
  2. Step 2: Convert to fraction form
    831,869/1,703,086 = 1,703,086/x
  3. Step 3: Cross multiply
    831,869x = 1,703,086 × 1,703,086
  4. Step 4: Simplify right side
    831,869x = 2,900,501,923,396
  5. Step 5: Solve for x
    x = 2,900,501,923,396/831,869
  6. Step 6: Final answer
    x = 3,486,729.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.