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Finding the Third Proportional to 764,047.69 and 1,591,381.69

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Solution

The third proportional to 764,047.69 and 1,591,381.69 is: 3,314,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,047.69 : 1,591,381.69 = 1,591,381.69 : x
  2. Step 2: Convert to fraction form
    764,047.69/1,591,381.69 = 1,591,381.69/x
  3. Step 3: Cross multiply
    764,047.69x = 1,591,381.69 × 1,591,381.69
  4. Step 4: Simplify right side
    764,047.69x = 2,532,495,675,310.35
  5. Step 5: Solve for x
    x = 2,532,495,675,310.35/764,047.69
  6. Step 6: Final answer
    x = 3,314,578.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.