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Finding the Third Proportional to 545,259 and 1,198,806

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Solution

The third proportional to 545,259 and 1,198,806 is: 2,635,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,259 : 1,198,806 = 1,198,806 : x
  2. Step 2: Convert to fraction form
    545,259/1,198,806 = 1,198,806/x
  3. Step 3: Cross multiply
    545,259x = 1,198,806 × 1,198,806
  4. Step 4: Simplify right side
    545,259x = 1,437,135,825,636
  5. Step 5: Solve for x
    x = 1,437,135,825,636/545,259
  6. Step 6: Final answer
    x = 2,635,693.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.