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Finding the Third Proportional to 545,950 and 1,181,324

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Solution

The third proportional to 545,950 and 1,181,324 is: 2,556,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,950 : 1,181,324 = 1,181,324 : x
  2. Step 2: Convert to fraction form
    545,950/1,181,324 = 1,181,324/x
  3. Step 3: Cross multiply
    545,950x = 1,181,324 × 1,181,324
  4. Step 4: Simplify right side
    545,950x = 1,395,526,392,976
  5. Step 5: Solve for x
    x = 1,395,526,392,976/545,950
  6. Step 6: Final answer
    x = 2,556,143.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.