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Finding the Third Proportional to 668,194 and 965,426

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Solution

The third proportional to 668,194 and 965,426 is: 1,394,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,194 : 965,426 = 965,426 : x
  2. Step 2: Convert to fraction form
    668,194/965,426 = 965,426/x
  3. Step 3: Cross multiply
    668,194x = 965,426 × 965,426
  4. Step 4: Simplify right side
    668,194x = 932,047,361,476
  5. Step 5: Solve for x
    x = 932,047,361,476/668,194
  6. Step 6: Final answer
    x = 1,394,875.38

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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.