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Finding the Third Proportional to 536,100 and 1,116,288

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Solution

The third proportional to 536,100 and 1,116,288 is: 2,324,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,100 : 1,116,288 = 1,116,288 : x
  2. Step 2: Convert to fraction form
    536,100/1,116,288 = 1,116,288/x
  3. Step 3: Cross multiply
    536,100x = 1,116,288 × 1,116,288
  4. Step 4: Simplify right side
    536,100x = 1,246,098,898,944
  5. Step 5: Solve for x
    x = 1,246,098,898,944/536,100
  6. Step 6: Final answer
    x = 2,324,377.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.