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Finding the Third Proportional to 2,082,073 and 4,819,561

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Solution

The third proportional to 2,082,073 and 4,819,561 is: 11,156,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,073 : 4,819,561 = 4,819,561 : x
  2. Step 2: Convert to fraction form
    2,082,073/4,819,561 = 4,819,561/x
  3. Step 3: Cross multiply
    2,082,073x = 4,819,561 × 4,819,561
  4. Step 4: Simplify right side
    2,082,073x = 23,228,168,232,721
  5. Step 5: Solve for x
    x = 23,228,168,232,721/2,082,073
  6. Step 6: Final answer
    x = 11,156,269.85

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.