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Finding the Third Proportional to 831,846 and 1,703,109

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Solution

The third proportional to 831,846 and 1,703,109 is: 3,486,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,846 : 1,703,109 = 1,703,109 : x
  2. Step 2: Convert to fraction form
    831,846/1,703,109 = 1,703,109/x
  3. Step 3: Cross multiply
    831,846x = 1,703,109 × 1,703,109
  4. Step 4: Simplify right side
    831,846x = 2,900,580,265,881
  5. Step 5: Solve for x
    x = 2,900,580,265,881/831,846
  6. Step 6: Final answer
    x = 3,486,919.77

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