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Finding the Third Proportional to 409,734 and 886,860

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Solution

The third proportional to 409,734 and 886,860 is: 1,919,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,734 : 886,860 = 886,860 : x
  2. Step 2: Convert to fraction form
    409,734/886,860 = 886,860/x
  3. Step 3: Cross multiply
    409,734x = 886,860 × 886,860
  4. Step 4: Simplify right side
    409,734x = 786,520,659,600
  5. Step 5: Solve for x
    x = 786,520,659,600/409,734
  6. Step 6: Final answer
    x = 1,919,588.46

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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.