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Finding the Third Proportional to 371,041 and 813,096

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Solution

The third proportional to 371,041 and 813,096 is: 1,781,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,041 : 813,096 = 813,096 : x
  2. Step 2: Convert to fraction form
    371,041/813,096 = 813,096/x
  3. Step 3: Cross multiply
    371,041x = 813,096 × 813,096
  4. Step 4: Simplify right side
    371,041x = 661,125,105,216
  5. Step 5: Solve for x
    x = 661,125,105,216/371,041
  6. Step 6: Final answer
    x = 1,781,811.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.