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Finding the Third Proportional to 678,493.97 and 1,412,802

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Solution

The third proportional to 678,493.97 and 1,412,802 is: 2,941,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,493.97 : 1,412,802 = 1,412,802 : x
  2. Step 2: Convert to fraction form
    678,493.97/1,412,802 = 1,412,802/x
  3. Step 3: Cross multiply
    678,493.97x = 1,412,802 × 1,412,802
  4. Step 4: Simplify right side
    678,493.97x = 1,996,009,491,204
  5. Step 5: Solve for x
    x = 1,996,009,491,204/678,493.97
  6. Step 6: Final answer
    x = 2,941,823.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.