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Finding the Third Proportional to 505,744 and 1,080,608

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Solution

The third proportional to 505,744 and 1,080,608 is: 2,308,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,744 : 1,080,608 = 1,080,608 : x
  2. Step 2: Convert to fraction form
    505,744/1,080,608 = 1,080,608/x
  3. Step 3: Cross multiply
    505,744x = 1,080,608 × 1,080,608
  4. Step 4: Simplify right side
    505,744x = 1,167,713,649,664
  5. Step 5: Solve for x
    x = 1,167,713,649,664/505,744
  6. Step 6: Final answer
    x = 2,308,902.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.