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Finding the Third Proportional to 548,287.95 and 1,222,645.01

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Solution

The third proportional to 548,287.95 and 1,222,645.01 is: 2,726,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,287.95 : 1,222,645.01 = 1,222,645.01 : x
  2. Step 2: Convert to fraction form
    548,287.95/1,222,645.01 = 1,222,645.01/x
  3. Step 3: Cross multiply
    548,287.95x = 1,222,645.01 × 1,222,645.01
  4. Step 4: Simplify right side
    548,287.95x = 1,494,860,815,128.83
  5. Step 5: Solve for x
    x = 1,494,860,815,128.83/548,287.95
  6. Step 6: Final answer
    x = 2,726,415.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.