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Finding the Third Proportional to 536,738 and 1,096,780

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Solution

The third proportional to 536,738 and 1,096,780 is: 2,241,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,738 : 1,096,780 = 1,096,780 : x
  2. Step 2: Convert to fraction form
    536,738/1,096,780 = 1,096,780/x
  3. Step 3: Cross multiply
    536,738x = 1,096,780 × 1,096,780
  4. Step 4: Simplify right side
    536,738x = 1,202,926,368,400
  5. Step 5: Solve for x
    x = 1,202,926,368,400/536,738
  6. Step 6: Final answer
    x = 2,241,179.81

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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.