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Finding the Third Proportional to 775,533 and 1,640,485.50

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Solution

The third proportional to 775,533 and 1,640,485.50 is: 3,470,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,533 : 1,640,485.50 = 1,640,485.50 : x
  2. Step 2: Convert to fraction form
    775,533/1,640,485.50 = 1,640,485.50/x
  3. Step 3: Cross multiply
    775,533x = 1,640,485.50 × 1,640,485.50
  4. Step 4: Simplify right side
    775,533x = 2,691,192,675,710.25
  5. Step 5: Solve for x
    x = 2,691,192,675,710.25/775,533
  6. Step 6: Final answer
    x = 3,470,120.13

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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.