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Finding the Third Proportional to 793,296 and 1,744,056

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Solution

The third proportional to 793,296 and 1,744,056 is: 3,834,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,296 : 1,744,056 = 1,744,056 : x
  2. Step 2: Convert to fraction form
    793,296/1,744,056 = 1,744,056/x
  3. Step 3: Cross multiply
    793,296x = 1,744,056 × 1,744,056
  4. Step 4: Simplify right side
    793,296x = 3,041,731,331,136
  5. Step 5: Solve for x
    x = 3,041,731,331,136/793,296
  6. Step 6: Final answer
    x = 3,834,295.56

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