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Finding the Third Proportional to 605,478 and 1,284,756

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Solution

The third proportional to 605,478 and 1,284,756 is: 2,726,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,478 : 1,284,756 = 1,284,756 : x
  2. Step 2: Convert to fraction form
    605,478/1,284,756 = 1,284,756/x
  3. Step 3: Cross multiply
    605,478x = 1,284,756 × 1,284,756
  4. Step 4: Simplify right side
    605,478x = 1,650,597,979,536
  5. Step 5: Solve for x
    x = 1,650,597,979,536/605,478
  6. Step 6: Final answer
    x = 2,726,107.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.