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Finding the Third Proportional to 831,229.28 and 1,790,688.52

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Solution

The third proportional to 831,229.28 and 1,790,688.52 is: 3,857,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,229.28 : 1,790,688.52 = 1,790,688.52 : x
  2. Step 2: Convert to fraction form
    831,229.28/1,790,688.52 = 1,790,688.52/x
  3. Step 3: Cross multiply
    831,229.28x = 1,790,688.52 × 1,790,688.52
  4. Step 4: Simplify right side
    831,229.28x = 3,206,565,359,991.27
  5. Step 5: Solve for x
    x = 3,206,565,359,991.27/831,229.28
  6. Step 6: Final answer
    x = 3,857,618.41

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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.