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Finding the Third Proportional to 426,647.25 and 985,213.13

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Solution

The third proportional to 426,647.25 and 985,213.13 is: 2,275,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,647.25 : 985,213.13 = 985,213.13 : x
  2. Step 2: Convert to fraction form
    426,647.25/985,213.13 = 985,213.13/x
  3. Step 3: Cross multiply
    426,647.25x = 985,213.13 × 985,213.13
  4. Step 4: Simplify right side
    426,647.25x = 970,644,901,672.27
  5. Step 5: Solve for x
    x = 970,644,901,672.27/426,647.25
  6. Step 6: Final answer
    x = 2,275,052.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.