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Finding the Third Proportional to 831,120 and 1,109,196

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Solution

The third proportional to 831,120 and 1,109,196 is: 1,480,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,120 : 1,109,196 = 1,109,196 : x
  2. Step 2: Convert to fraction form
    831,120/1,109,196 = 1,109,196/x
  3. Step 3: Cross multiply
    831,120x = 1,109,196 × 1,109,196
  4. Step 4: Simplify right side
    831,120x = 1,230,315,766,416
  5. Step 5: Solve for x
    x = 1,230,315,766,416/831,120
  6. Step 6: Final answer
    x = 1,480,310.62

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.