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Finding the Third Proportional to 794,500 and 1,193,525

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Solution

The third proportional to 794,500 and 1,193,525 is: 1,792,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,500 : 1,193,525 = 1,193,525 : x
  2. Step 2: Convert to fraction form
    794,500/1,193,525 = 1,193,525/x
  3. Step 3: Cross multiply
    794,500x = 1,193,525 × 1,193,525
  4. Step 4: Simplify right side
    794,500x = 1,424,501,925,625
  5. Step 5: Solve for x
    x = 1,424,501,925,625/794,500
  6. Step 6: Final answer
    x = 1,792,953.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.