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Finding the Third Proportional to 764,242 and 1,619,524

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Solution

The third proportional to 764,242 and 1,619,524 is: 3,431,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,242 : 1,619,524 = 1,619,524 : x
  2. Step 2: Convert to fraction form
    764,242/1,619,524 = 1,619,524/x
  3. Step 3: Cross multiply
    764,242x = 1,619,524 × 1,619,524
  4. Step 4: Simplify right side
    764,242x = 2,622,857,986,576
  5. Step 5: Solve for x
    x = 2,622,857,986,576/764,242
  6. Step 6: Final answer
    x = 3,431,973.10

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