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Finding the Third Proportional to 1,049,198 and 2,247,247

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Solution

The third proportional to 1,049,198 and 2,247,247 is: 4,813,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,198 : 2,247,247 = 2,247,247 : x
  2. Step 2: Convert to fraction form
    1,049,198/2,247,247 = 2,247,247/x
  3. Step 3: Cross multiply
    1,049,198x = 2,247,247 × 2,247,247
  4. Step 4: Simplify right side
    1,049,198x = 5,050,119,079,009
  5. Step 5: Solve for x
    x = 5,050,119,079,009/1,049,198
  6. Step 6: Final answer
    x = 4,813,313.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.