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Finding the Third Proportional to 542,172 and 1,187,736

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Solution

The third proportional to 542,172 and 1,187,736 is: 2,601,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,172 : 1,187,736 = 1,187,736 : x
  2. Step 2: Convert to fraction form
    542,172/1,187,736 = 1,187,736/x
  3. Step 3: Cross multiply
    542,172x = 1,187,736 × 1,187,736
  4. Step 4: Simplify right side
    542,172x = 1,410,716,805,696
  5. Step 5: Solve for x
    x = 1,410,716,805,696/542,172
  6. Step 6: Final answer
    x = 2,601,972.82

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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.