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Finding the Third Proportional to 874,698 and 1,305,296

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Solution

The third proportional to 874,698 and 1,305,296 is: 1,947,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,698 : 1,305,296 = 1,305,296 : x
  2. Step 2: Convert to fraction form
    874,698/1,305,296 = 1,305,296/x
  3. Step 3: Cross multiply
    874,698x = 1,305,296 × 1,305,296
  4. Step 4: Simplify right side
    874,698x = 1,703,797,647,616
  5. Step 5: Solve for x
    x = 1,703,797,647,616/874,698
  6. Step 6: Final answer
    x = 1,947,869.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.