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Finding the Third Proportional to 542,388 and 1,179,912

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Solution

The third proportional to 542,388 and 1,179,912 is: 2,566,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,388 : 1,179,912 = 1,179,912 : x
  2. Step 2: Convert to fraction form
    542,388/1,179,912 = 1,179,912/x
  3. Step 3: Cross multiply
    542,388x = 1,179,912 × 1,179,912
  4. Step 4: Simplify right side
    542,388x = 1,392,192,327,744
  5. Step 5: Solve for x
    x = 1,392,192,327,744/542,388
  6. Step 6: Final answer
    x = 2,566,783.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.