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Finding the Third Proportional to 408,998 and 874,857

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Solution

The third proportional to 408,998 and 874,857 is: 1,871,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,998 : 874,857 = 874,857 : x
  2. Step 2: Convert to fraction form
    408,998/874,857 = 874,857/x
  3. Step 3: Cross multiply
    408,998x = 874,857 × 874,857
  4. Step 4: Simplify right side
    408,998x = 765,374,770,449
  5. Step 5: Solve for x
    x = 765,374,770,449/408,998
  6. Step 6: Final answer
    x = 1,871,341.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.