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Finding the Third Proportional to 3,782,082 and 5,676,993

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Solution

The third proportional to 3,782,082 and 5,676,993 is: 8,521,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,082 : 5,676,993 = 5,676,993 : x
  2. Step 2: Convert to fraction form
    3,782,082/5,676,993 = 5,676,993/x
  3. Step 3: Cross multiply
    3,782,082x = 5,676,993 × 5,676,993
  4. Step 4: Simplify right side
    3,782,082x = 32,228,249,522,049
  5. Step 5: Solve for x
    x = 32,228,249,522,049/3,782,082
  6. Step 6: Final answer
    x = 8,521,298.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.