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Finding the Third Proportional to 764,460 and 1,647,864

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Solution

The third proportional to 764,460 and 1,647,864 is: 3,552,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,460 : 1,647,864 = 1,647,864 : x
  2. Step 2: Convert to fraction form
    764,460/1,647,864 = 1,647,864/x
  3. Step 3: Cross multiply
    764,460x = 1,647,864 × 1,647,864
  4. Step 4: Simplify right side
    764,460x = 2,715,455,762,496
  5. Step 5: Solve for x
    x = 2,715,455,762,496/764,460
  6. Step 6: Final answer
    x = 3,552,122.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.