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Finding the Third Proportional to 831,082.15 and 1,819,804.85

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Solution

The third proportional to 831,082.15 and 1,819,804.85 is: 3,984,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,082.15 : 1,819,804.85 = 1,819,804.85 : x
  2. Step 2: Convert to fraction form
    831,082.15/1,819,804.85 = 1,819,804.85/x
  3. Step 3: Cross multiply
    831,082.15x = 1,819,804.85 × 1,819,804.85
  4. Step 4: Simplify right side
    831,082.15x = 3,311,689,697,770.41
  5. Step 5: Solve for x
    x = 3,311,689,697,770.41/831,082.15
  6. Step 6: Final answer
    x = 3,984,792.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.