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Finding the Third Proportional to 764,558 and 1,620,268

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Solution

The third proportional to 764,558 and 1,620,268 is: 3,433,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,558 : 1,620,268 = 1,620,268 : x
  2. Step 2: Convert to fraction form
    764,558/1,620,268 = 1,620,268/x
  3. Step 3: Cross multiply
    764,558x = 1,620,268 × 1,620,268
  4. Step 4: Simplify right side
    764,558x = 2,625,268,391,824
  5. Step 5: Solve for x
    x = 2,625,268,391,824/764,558
  6. Step 6: Final answer
    x = 3,433,707.31

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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.