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Finding the Third Proportional to 772,771 and 1,659,806

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Solution

The third proportional to 772,771 and 1,659,806 is: 3,565,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,771 : 1,659,806 = 1,659,806 : x
  2. Step 2: Convert to fraction form
    772,771/1,659,806 = 1,659,806/x
  3. Step 3: Cross multiply
    772,771x = 1,659,806 × 1,659,806
  4. Step 4: Simplify right side
    772,771x = 2,754,955,957,636
  5. Step 5: Solve for x
    x = 2,754,955,957,636/772,771
  6. Step 6: Final answer
    x = 3,565,035.38

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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.