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Finding the Third Proportional to 853,640 and 1,831,696

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Solution

The third proportional to 853,640 and 1,831,696 is: 3,930,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,640 : 1,831,696 = 1,831,696 : x
  2. Step 2: Convert to fraction form
    853,640/1,831,696 = 1,831,696/x
  3. Step 3: Cross multiply
    853,640x = 1,831,696 × 1,831,696
  4. Step 4: Simplify right side
    853,640x = 3,355,110,236,416
  5. Step 5: Solve for x
    x = 3,355,110,236,416/853,640
  6. Step 6: Final answer
    x = 3,930,357.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.