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Finding the Third Proportional to 505,041 and 1,122,189

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Solution

The third proportional to 505,041 and 1,122,189 is: 2,493,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,041 : 1,122,189 = 1,122,189 : x
  2. Step 2: Convert to fraction form
    505,041/1,122,189 = 1,122,189/x
  3. Step 3: Cross multiply
    505,041x = 1,122,189 × 1,122,189
  4. Step 4: Simplify right side
    505,041x = 1,259,308,151,721
  5. Step 5: Solve for x
    x = 1,259,308,151,721/505,041
  6. Step 6: Final answer
    x = 2,493,477.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.