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Finding the Third Proportional to 793,478 and 1,744,420

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Solution

The third proportional to 793,478 and 1,744,420 is: 3,835,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,478 : 1,744,420 = 1,744,420 : x
  2. Step 2: Convert to fraction form
    793,478/1,744,420 = 1,744,420/x
  3. Step 3: Cross multiply
    793,478x = 1,744,420 × 1,744,420
  4. Step 4: Simplify right side
    793,478x = 3,043,001,136,400
  5. Step 5: Solve for x
    x = 3,043,001,136,400/793,478
  6. Step 6: Final answer
    x = 3,835,016.39

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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.