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Finding the Third Proportional to 1,264,022 and 2,764,521

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Solution

The third proportional to 1,264,022 and 2,764,521 is: 6,046,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,022 : 2,764,521 = 2,764,521 : x
  2. Step 2: Convert to fraction form
    1,264,022/2,764,521 = 2,764,521/x
  3. Step 3: Cross multiply
    1,264,022x = 2,764,521 × 2,764,521
  4. Step 4: Simplify right side
    1,264,022x = 7,642,576,359,441
  5. Step 5: Solve for x
    x = 7,642,576,359,441/1,264,022
  6. Step 6: Final answer
    x = 6,046,236.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.