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Finding the Third Proportional to 775,558 and 1,640,536

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Solution

The third proportional to 775,558 and 1,640,536 is: 3,470,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,558 : 1,640,536 = 1,640,536 : x
  2. Step 2: Convert to fraction form
    775,558/1,640,536 = 1,640,536/x
  3. Step 3: Cross multiply
    775,558x = 1,640,536 × 1,640,536
  4. Step 4: Simplify right side
    775,558x = 2,691,358,367,296
  5. Step 5: Solve for x
    x = 2,691,358,367,296/775,558
  6. Step 6: Final answer
    x = 3,470,221.91

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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.