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Finding the Third Proportional to 831,876 and 1,703,157

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Solution

The third proportional to 831,876 and 1,703,157 is: 3,486,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,876 : 1,703,157 = 1,703,157 : x
  2. Step 2: Convert to fraction form
    831,876/1,703,157 = 1,703,157/x
  3. Step 3: Cross multiply
    831,876x = 1,703,157 × 1,703,157
  4. Step 4: Simplify right side
    831,876x = 2,900,743,766,649
  5. Step 5: Solve for x
    x = 2,900,743,766,649/831,876
  6. Step 6: Final answer
    x = 3,486,990.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.