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Finding the Third Proportional to 404,596 and 874,802

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Solution

The third proportional to 404,596 and 874,802 is: 1,891,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,596 : 874,802 = 874,802 : x
  2. Step 2: Convert to fraction form
    404,596/874,802 = 874,802/x
  3. Step 3: Cross multiply
    404,596x = 874,802 × 874,802
  4. Step 4: Simplify right side
    404,596x = 765,278,539,204
  5. Step 5: Solve for x
    x = 765,278,539,204/404,596
  6. Step 6: Final answer
    x = 1,891,463.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.