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Finding the Third Proportional to 431,360.44 and 934,120.69

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Solution

The third proportional to 431,360.44 and 934,120.69 is: 2,022,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,360.44 : 934,120.69 = 934,120.69 : x
  2. Step 2: Convert to fraction form
    431,360.44/934,120.69 = 934,120.69/x
  3. Step 3: Cross multiply
    431,360.44x = 934,120.69 × 934,120.69
  4. Step 4: Simplify right side
    431,360.44x = 872,581,458,815.47
  5. Step 5: Solve for x
    x = 872,581,458,815.47/431,360.44
  6. Step 6: Final answer
    x = 2,022,859.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.