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Finding the Third Proportional to 519,647 and 1,116,649

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Solution

The third proportional to 519,647 and 1,116,649 is: 2,399,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,647 : 1,116,649 = 1,116,649 : x
  2. Step 2: Convert to fraction form
    519,647/1,116,649 = 1,116,649/x
  3. Step 3: Cross multiply
    519,647x = 1,116,649 × 1,116,649
  4. Step 4: Simplify right side
    519,647x = 1,246,904,989,201
  5. Step 5: Solve for x
    x = 1,246,904,989,201/519,647
  6. Step 6: Final answer
    x = 2,399,523.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.