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Finding the Third Proportional to 764,219 and 1,619,473

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Solution

The third proportional to 764,219 and 1,619,473 is: 3,431,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,219 : 1,619,473 = 1,619,473 : x
  2. Step 2: Convert to fraction form
    764,219/1,619,473 = 1,619,473/x
  3. Step 3: Cross multiply
    764,219x = 1,619,473 × 1,619,473
  4. Step 4: Simplify right side
    764,219x = 2,622,692,797,729
  5. Step 5: Solve for x
    x = 2,622,692,797,729/764,219
  6. Step 6: Final answer
    x = 3,431,860.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.