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Finding the Third Proportional to 764,220 and 1,619,475

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Solution

The third proportional to 764,220 and 1,619,475 is: 3,431,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,220 : 1,619,475 = 1,619,475 : x
  2. Step 2: Convert to fraction form
    764,220/1,619,475 = 1,619,475/x
  3. Step 3: Cross multiply
    764,220x = 1,619,475 × 1,619,475
  4. Step 4: Simplify right side
    764,220x = 2,622,699,275,625
  5. Step 5: Solve for x
    x = 2,622,699,275,625/764,220
  6. Step 6: Final answer
    x = 3,431,864.22

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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.