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Finding the Third Proportional to 727,800 and 1,579,296

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Solution

The third proportional to 727,800 and 1,579,296 is: 3,427,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,800 : 1,579,296 = 1,579,296 : x
  2. Step 2: Convert to fraction form
    727,800/1,579,296 = 1,579,296/x
  3. Step 3: Cross multiply
    727,800x = 1,579,296 × 1,579,296
  4. Step 4: Simplify right side
    727,800x = 2,494,175,855,616
  5. Step 5: Solve for x
    x = 2,494,175,855,616/727,800
  6. Step 6: Final answer
    x = 3,427,007.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.