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Finding the Third Proportional to 764,352 and 1,591,443

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Solution

The third proportional to 764,352 and 1,591,443 is: 3,313,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,352 : 1,591,443 = 1,591,443 : x
  2. Step 2: Convert to fraction form
    764,352/1,591,443 = 1,591,443/x
  3. Step 3: Cross multiply
    764,352x = 1,591,443 × 1,591,443
  4. Step 4: Simplify right side
    764,352x = 2,532,690,822,249
  5. Step 5: Solve for x
    x = 2,532,690,822,249/764,352
  6. Step 6: Final answer
    x = 3,313,513.70

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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.