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Finding the Third Proportional to 831,227 and 1,789,576

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Solution

The third proportional to 831,227 and 1,789,576 is: 3,852,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,227 : 1,789,576 = 1,789,576 : x
  2. Step 2: Convert to fraction form
    831,227/1,789,576 = 1,789,576/x
  3. Step 3: Cross multiply
    831,227x = 1,789,576 × 1,789,576
  4. Step 4: Simplify right side
    831,227x = 3,202,582,259,776
  5. Step 5: Solve for x
    x = 3,202,582,259,776/831,227
  6. Step 6: Final answer
    x = 3,852,837.14

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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.