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Finding the Third Proportional to 404,504 and 898,794

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Solution

The third proportional to 404,504 and 898,794 is: 1,997,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,504 : 898,794 = 898,794 : x
  2. Step 2: Convert to fraction form
    404,504/898,794 = 898,794/x
  3. Step 3: Cross multiply
    404,504x = 898,794 × 898,794
  4. Step 4: Simplify right side
    404,504x = 807,830,654,436
  5. Step 5: Solve for x
    x = 807,830,654,436/404,504
  6. Step 6: Final answer
    x = 1,997,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.