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Finding the Third Proportional to 2,680,380 and 5,734,728

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Solution

The third proportional to 2,680,380 and 5,734,728 is: 12,269,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680,380 : 5,734,728 = 5,734,728 : x
  2. Step 2: Convert to fraction form
    2,680,380/5,734,728 = 5,734,728/x
  3. Step 3: Cross multiply
    2,680,380x = 5,734,728 × 5,734,728
  4. Step 4: Simplify right side
    2,680,380x = 32,887,105,233,984
  5. Step 5: Solve for x
    x = 32,887,105,233,984/2,680,380
  6. Step 6: Final answer
    x = 12,269,568.21

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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.