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Finding the Third Proportional to 836,692 and 1,280,166

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Solution

The third proportional to 836,692 and 1,280,166 is: 1,958,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,692 : 1,280,166 = 1,280,166 : x
  2. Step 2: Convert to fraction form
    836,692/1,280,166 = 1,280,166/x
  3. Step 3: Cross multiply
    836,692x = 1,280,166 × 1,280,166
  4. Step 4: Simplify right side
    836,692x = 1,638,824,987,556
  5. Step 5: Solve for x
    x = 1,638,824,987,556/836,692
  6. Step 6: Final answer
    x = 1,958,695.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.