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Finding the Third Proportional to 831,242.25 and 1,790,712.56

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Solution

The third proportional to 831,242.25 and 1,790,712.56 is: 3,857,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,242.25 : 1,790,712.56 = 1,790,712.56 : x
  2. Step 2: Convert to fraction form
    831,242.25/1,790,712.56 = 1,790,712.56/x
  3. Step 3: Cross multiply
    831,242.25x = 1,790,712.56 × 1,790,712.56
  4. Step 4: Simplify right side
    831,242.25x = 3,206,651,481,495.32
  5. Step 5: Solve for x
    x = 3,206,651,481,495.32/831,242.25
  6. Step 6: Final answer
    x = 3,857,661.81

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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.