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Finding the Third Proportional to 3,940,984.13 and 5,939,664.19

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Solution

The third proportional to 3,940,984.13 and 5,939,664.19 is: 8,951,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,984.13 : 5,939,664.19 = 5,939,664.19 : x
  2. Step 2: Convert to fraction form
    3,940,984.13/5,939,664.19 = 5,939,664.19/x
  3. Step 3: Cross multiply
    3,940,984.13x = 5,939,664.19 × 5,939,664.19
  4. Step 4: Simplify right side
    3,940,984.13x = 35,279,610,660,270.03
  5. Step 5: Solve for x
    x = 35,279,610,660,270.03/3,940,984.13
  6. Step 6: Final answer
    x = 8,951,979.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.