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Finding the Third Proportional to 408,992 and 874,848

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Solution

The third proportional to 408,992 and 874,848 is: 1,871,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,992 : 874,848 = 874,848 : x
  2. Step 2: Convert to fraction form
    408,992/874,848 = 874,848/x
  3. Step 3: Cross multiply
    408,992x = 874,848 × 874,848
  4. Step 4: Simplify right side
    408,992x = 765,359,023,104
  5. Step 5: Solve for x
    x = 765,359,023,104/408,992
  6. Step 6: Final answer
    x = 1,871,330.06

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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.