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Finding the Third Proportional to 728,150.77 and 1,092,226.22

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Solution

The third proportional to 728,150.77 and 1,092,226.22 is: 1,638,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,150.77 : 1,092,226.22 = 1,092,226.22 : x
  2. Step 2: Convert to fraction form
    728,150.77/1,092,226.22 = 1,092,226.22/x
  3. Step 3: Cross multiply
    728,150.77x = 1,092,226.22 × 1,092,226.22
  4. Step 4: Simplify right side
    728,150.77x = 1,192,958,112,924.92
  5. Step 5: Solve for x
    x = 1,192,958,112,924.92/728,150.77
  6. Step 6: Final answer
    x = 1,638,339.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.