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Finding the Third Proportional to 764,930 and 1,680,836

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Solution

The third proportional to 764,930 and 1,680,836 is: 3,693,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,930 : 1,680,836 = 1,680,836 : x
  2. Step 2: Convert to fraction form
    764,930/1,680,836 = 1,680,836/x
  3. Step 3: Cross multiply
    764,930x = 1,680,836 × 1,680,836
  4. Step 4: Simplify right side
    764,930x = 2,825,209,658,896
  5. Step 5: Solve for x
    x = 2,825,209,658,896/764,930
  6. Step 6: Final answer
    x = 3,693,422.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.