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Finding the Third Proportional to 678,260.25 and 1,049,745.66

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Solution

The third proportional to 678,260.25 and 1,049,745.66 is: 1,624,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,260.25 : 1,049,745.66 = 1,049,745.66 : x
  2. Step 2: Convert to fraction form
    678,260.25/1,049,745.66 = 1,049,745.66/x
  3. Step 3: Cross multiply
    678,260.25x = 1,049,745.66 × 1,049,745.66
  4. Step 4: Simplify right side
    678,260.25x = 1,101,965,942,815.74
  5. Step 5: Solve for x
    x = 1,101,965,942,815.74/678,260.25
  6. Step 6: Final answer
    x = 1,624,694.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.