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Finding the Third Proportional to 831,861.75 and 1,703,129.25

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Solution

The third proportional to 831,861.75 and 1,703,129.25 is: 3,486,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,861.75 : 1,703,129.25 = 1,703,129.25 : x
  2. Step 2: Convert to fraction form
    831,861.75/1,703,129.25 = 1,703,129.25/x
  3. Step 3: Cross multiply
    831,861.75x = 1,703,129.25 × 1,703,129.25
  4. Step 4: Simplify right side
    831,861.75x = 2,900,649,242,205.56
  5. Step 5: Solve for x
    x = 2,900,649,242,205.56/831,861.75
  6. Step 6: Final answer
    x = 3,486,936.67

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