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Finding the Third Proportional to 408,913 and 892,182

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Solution

The third proportional to 408,913 and 892,182 is: 1,946,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,913 : 892,182 = 892,182 : x
  2. Step 2: Convert to fraction form
    408,913/892,182 = 892,182/x
  3. Step 3: Cross multiply
    408,913x = 892,182 × 892,182
  4. Step 4: Simplify right side
    408,913x = 795,988,721,124
  5. Step 5: Solve for x
    x = 795,988,721,124/408,913
  6. Step 6: Final answer
    x = 1,946,596.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.