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Finding the Third Proportional to 505,003 and 1,105,027

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Solution

The third proportional to 505,003 and 1,105,027 is: 2,417,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,003 : 1,105,027 = 1,105,027 : x
  2. Step 2: Convert to fraction form
    505,003/1,105,027 = 1,105,027/x
  3. Step 3: Cross multiply
    505,003x = 1,105,027 × 1,105,027
  4. Step 4: Simplify right side
    505,003x = 1,221,084,670,729
  5. Step 5: Solve for x
    x = 1,221,084,670,729/505,003
  6. Step 6: Final answer
    x = 2,417,975.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.