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Finding the Third Proportional to 676,086.75 and 1,377,217.69

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Solution

The third proportional to 676,086.75 and 1,377,217.69 is: 2,805,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,086.75 : 1,377,217.69 = 1,377,217.69 : x
  2. Step 2: Convert to fraction form
    676,086.75/1,377,217.69 = 1,377,217.69/x
  3. Step 3: Cross multiply
    676,086.75x = 1,377,217.69 × 1,377,217.69
  4. Step 4: Simplify right side
    676,086.75x = 1,896,728,558,762.85
  5. Step 5: Solve for x
    x = 1,896,728,558,762.85/676,086.75
  6. Step 6: Final answer
    x = 2,805,451.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.