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Finding the Third Proportional to 505,869 and 1,100,967

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Solution

The third proportional to 505,869 and 1,100,967 is: 2,396,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,869 : 1,100,967 = 1,100,967 : x
  2. Step 2: Convert to fraction form
    505,869/1,100,967 = 1,100,967/x
  3. Step 3: Cross multiply
    505,869x = 1,100,967 × 1,100,967
  4. Step 4: Simplify right side
    505,869x = 1,212,128,335,089
  5. Step 5: Solve for x
    x = 1,212,128,335,089/505,869
  6. Step 6: Final answer
    x = 2,396,130.89

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Why These Related Problems?

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