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Finding the Third Proportional to 869,214 and 1,383,093

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Solution

The third proportional to 869,214 and 1,383,093 is: 2,200,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,214 : 1,383,093 = 1,383,093 : x
  2. Step 2: Convert to fraction form
    869,214/1,383,093 = 1,383,093/x
  3. Step 3: Cross multiply
    869,214x = 1,383,093 × 1,383,093
  4. Step 4: Simplify right side
    869,214x = 1,912,946,246,649
  5. Step 5: Solve for x
    x = 1,912,946,246,649/869,214
  6. Step 6: Final answer
    x = 2,200,777.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.