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Finding the Third Proportional to 536,728 and 1,096,760

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Solution

The third proportional to 536,728 and 1,096,760 is: 2,241,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,728 : 1,096,760 = 1,096,760 : x
  2. Step 2: Convert to fraction form
    536,728/1,096,760 = 1,096,760/x
  3. Step 3: Cross multiply
    536,728x = 1,096,760 × 1,096,760
  4. Step 4: Simplify right side
    536,728x = 1,202,882,497,600
  5. Step 5: Solve for x
    x = 1,202,882,497,600/536,728
  6. Step 6: Final answer
    x = 2,241,139.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.