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Finding the Third Proportional to 764,282 and 1,619,596

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Solution

The third proportional to 764,282 and 1,619,596 is: 3,432,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,282 : 1,619,596 = 1,619,596 : x
  2. Step 2: Convert to fraction form
    764,282/1,619,596 = 1,619,596/x
  3. Step 3: Cross multiply
    764,282x = 1,619,596 × 1,619,596
  4. Step 4: Simplify right side
    764,282x = 2,623,091,203,216
  5. Step 5: Solve for x
    x = 2,623,091,203,216/764,282
  6. Step 6: Final answer
    x = 3,432,098.63

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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.