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Finding the Third Proportional to 1,289,162.25 and 2,732,003.44

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Solution

The third proportional to 1,289,162.25 and 2,732,003.44 is: 5,789,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,162.25 : 2,732,003.44 = 2,732,003.44 : x
  2. Step 2: Convert to fraction form
    1,289,162.25/2,732,003.44 = 2,732,003.44/x
  3. Step 3: Cross multiply
    1,289,162.25x = 2,732,003.44 × 2,732,003.44
  4. Step 4: Simplify right side
    1,289,162.25x = 7,463,842,782,511.82
  5. Step 5: Solve for x
    x = 7,463,842,782,511.82/1,289,162.25
  6. Step 6: Final answer
    x = 5,789,684.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.