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Finding the Third Proportional to 743,296 and 1,591,532

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Solution

The third proportional to 743,296 and 1,591,532 is: 3,407,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,296 : 1,591,532 = 1,591,532 : x
  2. Step 2: Convert to fraction form
    743,296/1,591,532 = 1,591,532/x
  3. Step 3: Cross multiply
    743,296x = 1,591,532 × 1,591,532
  4. Step 4: Simplify right side
    743,296x = 2,532,974,107,024
  5. Step 5: Solve for x
    x = 2,532,974,107,024/743,296
  6. Step 6: Final answer
    x = 3,407,759.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.