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Finding the Third Proportional to 449,614.13 and 940,794.75

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Solution

The third proportional to 449,614.13 and 940,794.75 is: 1,968,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,614.13 : 940,794.75 = 940,794.75 : x
  2. Step 2: Convert to fraction form
    449,614.13/940,794.75 = 940,794.75/x
  3. Step 3: Cross multiply
    449,614.13x = 940,794.75 × 940,794.75
  4. Step 4: Simplify right side
    449,614.13x = 885,094,761,627.56
  5. Step 5: Solve for x
    x = 885,094,761,627.56/449,614.13
  6. Step 6: Final answer
    x = 1,968,565.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.