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Finding the Third Proportional to 775,550 and 1,640,520

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Solution

The third proportional to 775,550 and 1,640,520 is: 3,470,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,550 : 1,640,520 = 1,640,520 : x
  2. Step 2: Convert to fraction form
    775,550/1,640,520 = 1,640,520/x
  3. Step 3: Cross multiply
    775,550x = 1,640,520 × 1,640,520
  4. Step 4: Simplify right side
    775,550x = 2,691,305,870,400
  5. Step 5: Solve for x
    x = 2,691,305,870,400/775,550
  6. Step 6: Final answer
    x = 3,470,190.02

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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.