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Finding the Third Proportional to 519,822 and 1,116,999

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Solution

The third proportional to 519,822 and 1,116,999 is: 2,400,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,822 : 1,116,999 = 1,116,999 : x
  2. Step 2: Convert to fraction form
    519,822/1,116,999 = 1,116,999/x
  3. Step 3: Cross multiply
    519,822x = 1,116,999 × 1,116,999
  4. Step 4: Simplify right side
    519,822x = 1,247,686,766,001
  5. Step 5: Solve for x
    x = 1,247,686,766,001/519,822
  6. Step 6: Final answer
    x = 2,400,219.24

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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.