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Finding the Third Proportional to 542,646 and 1,178,676

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Solution

The third proportional to 542,646 and 1,178,676 is: 2,560,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,646 : 1,178,676 = 1,178,676 : x
  2. Step 2: Convert to fraction form
    542,646/1,178,676 = 1,178,676/x
  3. Step 3: Cross multiply
    542,646x = 1,178,676 × 1,178,676
  4. Step 4: Simplify right side
    542,646x = 1,389,277,112,976
  5. Step 5: Solve for x
    x = 1,389,277,112,976/542,646
  6. Step 6: Final answer
    x = 2,560,190.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.