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Finding the Third Proportional to 542,696 and 1,193,660

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Solution

The third proportional to 542,696 and 1,193,660 is: 2,625,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,696 : 1,193,660 = 1,193,660 : x
  2. Step 2: Convert to fraction form
    542,696/1,193,660 = 1,193,660/x
  3. Step 3: Cross multiply
    542,696x = 1,193,660 × 1,193,660
  4. Step 4: Simplify right side
    542,696x = 1,424,824,195,600
  5. Step 5: Solve for x
    x = 1,424,824,195,600/542,696
  6. Step 6: Final answer
    x = 2,625,455.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.