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Finding the Third Proportional to 519,686 and 1,138,678

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Solution

The third proportional to 519,686 and 1,138,678 is: 2,494,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,686 : 1,138,678 = 1,138,678 : x
  2. Step 2: Convert to fraction form
    519,686/1,138,678 = 1,138,678/x
  3. Step 3: Cross multiply
    519,686x = 1,138,678 × 1,138,678
  4. Step 4: Simplify right side
    519,686x = 1,296,587,587,684
  5. Step 5: Solve for x
    x = 1,296,587,587,684/519,686
  6. Step 6: Final answer
    x = 2,494,944.23

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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.