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Finding the Third Proportional to 412,132 and 886,310

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Solution

The third proportional to 412,132 and 886,310 is: 1,906,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,132 : 886,310 = 886,310 : x
  2. Step 2: Convert to fraction form
    412,132/886,310 = 886,310/x
  3. Step 3: Cross multiply
    412,132x = 886,310 × 886,310
  4. Step 4: Simplify right side
    412,132x = 785,545,416,100
  5. Step 5: Solve for x
    x = 785,545,416,100/412,132
  6. Step 6: Final answer
    x = 1,906,052.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.