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Finding the Third Proportional to 677,856 and 1,491,144

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Solution

The third proportional to 677,856 and 1,491,144 is: 3,280,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,856 : 1,491,144 = 1,491,144 : x
  2. Step 2: Convert to fraction form
    677,856/1,491,144 = 1,491,144/x
  3. Step 3: Cross multiply
    677,856x = 1,491,144 × 1,491,144
  4. Step 4: Simplify right side
    677,856x = 2,223,510,428,736
  5. Step 5: Solve for x
    x = 2,223,510,428,736/677,856
  6. Step 6: Final answer
    x = 3,280,210.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.