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Finding the Third Proportional to 809,414,640 and 1,741,591,904

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Solution

The third proportional to 809,414,640 and 1,741,591,904 is: 3,747,328,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,414,640 : 1,741,591,904 = 1,741,591,904 : x
  2. Step 2: Convert to fraction form
    809,414,640/1,741,591,904 = 1,741,591,904/x
  3. Step 3: Cross multiply
    809,414,640x = 1,741,591,904 × 1,741,591,904
  4. Step 4: Simplify right side
    809,414,640x = 3,033,142,360,078,345,216
  5. Step 5: Solve for x
    x = 3,033,142,360,078,345,216/809,414,640
  6. Step 6: Final answer
    x = 3,747,328,266.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.