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Finding the Third Proportional to 764,272.13 and 1,665,882

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Solution

The third proportional to 764,272.13 and 1,665,882 is: 3,631,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,272.13 : 1,665,882 = 1,665,882 : x
  2. Step 2: Convert to fraction form
    764,272.13/1,665,882 = 1,665,882/x
  3. Step 3: Cross multiply
    764,272.13x = 1,665,882 × 1,665,882
  4. Step 4: Simplify right side
    764,272.13x = 2,775,162,837,924
  5. Step 5: Solve for x
    x = 2,775,162,837,924/764,272.13
  6. Step 6: Final answer
    x = 3,631,118.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.