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Finding the Third Proportional to 647,947.69 and 1,393,696.13

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Solution

The third proportional to 647,947.69 and 1,393,696.13 is: 2,997,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,947.69 : 1,393,696.13 = 1,393,696.13 : x
  2. Step 2: Convert to fraction form
    647,947.69/1,393,696.13 = 1,393,696.13/x
  3. Step 3: Cross multiply
    647,947.69x = 1,393,696.13 × 1,393,696.13
  4. Step 4: Simplify right side
    647,947.69x = 1,942,388,888,840.02
  5. Step 5: Solve for x
    x = 1,942,388,888,840.02/647,947.69
  6. Step 6: Final answer
    x = 2,997,755.72

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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.