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Finding the Third Proportional to 542,460 and 1,181,356

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Solution

The third proportional to 542,460 and 1,181,356 is: 2,572,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,460 : 1,181,356 = 1,181,356 : x
  2. Step 2: Convert to fraction form
    542,460/1,181,356 = 1,181,356/x
  3. Step 3: Cross multiply
    542,460x = 1,181,356 × 1,181,356
  4. Step 4: Simplify right side
    542,460x = 1,395,601,998,736
  5. Step 5: Solve for x
    x = 1,395,601,998,736/542,460
  6. Step 6: Final answer
    x = 2,572,727.94

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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.