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Finding the Third Proportional to 2,380,037 and 5,232,465

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Solution

The third proportional to 2,380,037 and 5,232,465 is: 11,503,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,037 : 5,232,465 = 5,232,465 : x
  2. Step 2: Convert to fraction form
    2,380,037/5,232,465 = 5,232,465/x
  3. Step 3: Cross multiply
    2,380,037x = 5,232,465 × 5,232,465
  4. Step 4: Simplify right side
    2,380,037x = 27,378,689,976,225
  5. Step 5: Solve for x
    x = 27,378,689,976,225/2,380,037
  6. Step 6: Final answer
    x = 11,503,472.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.