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Finding the Third Proportional to 538,860 and 1,173,669

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Solution

The third proportional to 538,860 and 1,173,669 is: 2,556,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,860 : 1,173,669 = 1,173,669 : x
  2. Step 2: Convert to fraction form
    538,860/1,173,669 = 1,173,669/x
  3. Step 3: Cross multiply
    538,860x = 1,173,669 × 1,173,669
  4. Step 4: Simplify right side
    538,860x = 1,377,498,921,561
  5. Step 5: Solve for x
    x = 1,377,498,921,561/538,860
  6. Step 6: Final answer
    x = 2,556,320.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.