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Finding the Third Proportional to 678,825 and 1,340,523

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Solution

The third proportional to 678,825 and 1,340,523 is: 2,647,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,825 : 1,340,523 = 1,340,523 : x
  2. Step 2: Convert to fraction form
    678,825/1,340,523 = 1,340,523/x
  3. Step 3: Cross multiply
    678,825x = 1,340,523 × 1,340,523
  4. Step 4: Simplify right side
    678,825x = 1,797,001,913,529
  5. Step 5: Solve for x
    x = 1,797,001,913,529/678,825
  6. Step 6: Final answer
    x = 2,647,224.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.