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Finding the Third Proportional to 655,628.06 and 1,343,754.56

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Solution

The third proportional to 655,628.06 and 1,343,754.56 is: 2,754,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,628.06 : 1,343,754.56 = 1,343,754.56 : x
  2. Step 2: Convert to fraction form
    655,628.06/1,343,754.56 = 1,343,754.56/x
  3. Step 3: Cross multiply
    655,628.06x = 1,343,754.56 × 1,343,754.56
  4. Step 4: Simplify right side
    655,628.06x = 1,805,676,324,239.57
  5. Step 5: Solve for x
    x = 1,805,676,324,239.57/655,628.06
  6. Step 6: Final answer
    x = 2,754,116.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.