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Finding the Third Proportional to 542,173 and 1,187,738

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Solution

The third proportional to 542,173 and 1,187,738 is: 2,601,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,173 : 1,187,738 = 1,187,738 : x
  2. Step 2: Convert to fraction form
    542,173/1,187,738 = 1,187,738/x
  3. Step 3: Cross multiply
    542,173x = 1,187,738 × 1,187,738
  4. Step 4: Simplify right side
    542,173x = 1,410,721,556,644
  5. Step 5: Solve for x
    x = 1,410,721,556,644/542,173
  6. Step 6: Final answer
    x = 2,601,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.