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Finding the Third Proportional to 400,036 and 874,794

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Solution

The third proportional to 400,036 and 874,794 is: 1,912,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,036 : 874,794 = 874,794 : x
  2. Step 2: Convert to fraction form
    400,036/874,794 = 874,794/x
  3. Step 3: Cross multiply
    400,036x = 874,794 × 874,794
  4. Step 4: Simplify right side
    400,036x = 765,264,542,436
  5. Step 5: Solve for x
    x = 765,264,542,436/400,036
  6. Step 6: Final answer
    x = 1,912,989.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.