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Finding the Third Proportional to 831,006 and 1,786,140

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Solution

The third proportional to 831,006 and 1,786,140 is: 3,839,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,006 : 1,786,140 = 1,786,140 : x
  2. Step 2: Convert to fraction form
    831,006/1,786,140 = 1,786,140/x
  3. Step 3: Cross multiply
    831,006x = 1,786,140 × 1,786,140
  4. Step 4: Simplify right side
    831,006x = 3,190,296,099,600
  5. Step 5: Solve for x
    x = 3,190,296,099,600/831,006
  6. Step 6: Final answer
    x = 3,839,077.09

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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.