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Finding the Third Proportional to 536,736 and 1,096,776

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Solution

The third proportional to 536,736 and 1,096,776 is: 2,241,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,736 : 1,096,776 = 1,096,776 : x
  2. Step 2: Convert to fraction form
    536,736/1,096,776 = 1,096,776/x
  3. Step 3: Cross multiply
    536,736x = 1,096,776 × 1,096,776
  4. Step 4: Simplify right side
    536,736x = 1,202,917,594,176
  5. Step 5: Solve for x
    x = 1,202,917,594,176/536,736
  6. Step 6: Final answer
    x = 2,241,171.81

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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.