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Finding the Third Proportional to 980,806.50 and 1,324,738.13

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Solution

The third proportional to 980,806.50 and 1,324,738.13 is: 1,789,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,806.50 : 1,324,738.13 = 1,324,738.13 : x
  2. Step 2: Convert to fraction form
    980,806.50/1,324,738.13 = 1,324,738.13/x
  3. Step 3: Cross multiply
    980,806.50x = 1,324,738.13 × 1,324,738.13
  4. Step 4: Simplify right side
    980,806.50x = 1,754,931,099,828.52
  5. Step 5: Solve for x
    x = 1,754,931,099,828.52/980,806.50
  6. Step 6: Final answer
    x = 1,789,273.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.