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Finding the Third Proportional to 505,338 and 1,105,629

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Solution

The third proportional to 505,338 and 1,105,629 is: 2,419,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,338 : 1,105,629 = 1,105,629 : x
  2. Step 2: Convert to fraction form
    505,338/1,105,629 = 1,105,629/x
  3. Step 3: Cross multiply
    505,338x = 1,105,629 × 1,105,629
  4. Step 4: Simplify right side
    505,338x = 1,222,415,485,641
  5. Step 5: Solve for x
    x = 1,222,415,485,641/505,338
  6. Step 6: Final answer
    x = 2,419,005.67

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