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Finding the Third Proportional to 408,970 and 867,134

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Solution

The third proportional to 408,970 and 867,134 is: 1,838,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,970 : 867,134 = 867,134 : x
  2. Step 2: Convert to fraction form
    408,970/867,134 = 867,134/x
  3. Step 3: Cross multiply
    408,970x = 867,134 × 867,134
  4. Step 4: Simplify right side
    408,970x = 751,921,373,956
  5. Step 5: Solve for x
    x = 751,921,373,956/408,970
  6. Step 6: Final answer
    x = 1,838,573.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.