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Finding the Third Proportional to 831,384 and 1,790,991

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Solution

The third proportional to 831,384 and 1,790,991 is: 3,858,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,384 : 1,790,991 = 1,790,991 : x
  2. Step 2: Convert to fraction form
    831,384/1,790,991 = 1,790,991/x
  3. Step 3: Cross multiply
    831,384x = 1,790,991 × 1,790,991
  4. Step 4: Simplify right side
    831,384x = 3,207,648,762,081
  5. Step 5: Solve for x
    x = 3,207,648,762,081/831,384
  6. Step 6: Final answer
    x = 3,858,203.62

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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.