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Finding the Third Proportional to 1,246,920 and 2,727,096

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Solution

The third proportional to 1,246,920 and 2,727,096 is: 5,964,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,920 : 2,727,096 = 2,727,096 : x
  2. Step 2: Convert to fraction form
    1,246,920/2,727,096 = 2,727,096/x
  3. Step 3: Cross multiply
    1,246,920x = 2,727,096 × 2,727,096
  4. Step 4: Simplify right side
    1,246,920x = 7,437,052,593,216
  5. Step 5: Solve for x
    x = 7,437,052,593,216/1,246,920
  6. Step 6: Final answer
    x = 5,964,338.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.