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Finding the Third Proportional to 536,720 and 1,096,744

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Solution

The third proportional to 536,720 and 1,096,744 is: 2,241,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,720 : 1,096,744 = 1,096,744 : x
  2. Step 2: Convert to fraction form
    536,720/1,096,744 = 1,096,744/x
  3. Step 3: Cross multiply
    536,720x = 1,096,744 × 1,096,744
  4. Step 4: Simplify right side
    536,720x = 1,202,847,401,536
  5. Step 5: Solve for x
    x = 1,202,847,401,536/536,720
  6. Step 6: Final answer
    x = 2,241,107.84

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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.