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Finding the Third Proportional to 1,049,166 and 2,247,183

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Solution

The third proportional to 1,049,166 and 2,247,183 is: 4,813,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,166 : 2,247,183 = 2,247,183 : x
  2. Step 2: Convert to fraction form
    1,049,166/2,247,183 = 2,247,183/x
  3. Step 3: Cross multiply
    1,049,166x = 2,247,183 × 2,247,183
  4. Step 4: Simplify right side
    1,049,166x = 5,049,831,435,489
  5. Step 5: Solve for x
    x = 5,049,831,435,489/1,049,166
  6. Step 6: Final answer
    x = 4,813,186.32

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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.