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Finding the Third Proportional to 668,194 and 965,427

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Solution

The third proportional to 668,194 and 965,427 is: 1,394,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,194 : 965,427 = 965,427 : x
  2. Step 2: Convert to fraction form
    668,194/965,427 = 965,427/x
  3. Step 3: Cross multiply
    668,194x = 965,427 × 965,427
  4. Step 4: Simplify right side
    668,194x = 932,049,292,329
  5. Step 5: Solve for x
    x = 932,049,292,329/668,194
  6. Step 6: Final answer
    x = 1,394,878.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.