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Finding the Third Proportional to 831,222 and 1,789,578

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Solution

The third proportional to 831,222 and 1,789,578 is: 3,852,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,222 : 1,789,578 = 1,789,578 : x
  2. Step 2: Convert to fraction form
    831,222/1,789,578 = 1,789,578/x
  3. Step 3: Cross multiply
    831,222x = 1,789,578 × 1,789,578
  4. Step 4: Simplify right side
    831,222x = 3,202,589,418,084
  5. Step 5: Solve for x
    x = 3,202,589,418,084/831,222
  6. Step 6: Final answer
    x = 3,852,868.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.