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Finding the Third Proportional to 2,667,924 and 5,841,771

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Solution

The third proportional to 2,667,924 and 5,841,771 is: 12,791,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667,924 : 5,841,771 = 5,841,771 : x
  2. Step 2: Convert to fraction form
    2,667,924/5,841,771 = 5,841,771/x
  3. Step 3: Cross multiply
    2,667,924x = 5,841,771 × 5,841,771
  4. Step 4: Simplify right side
    2,667,924x = 34,126,288,416,441
  5. Step 5: Solve for x
    x = 34,126,288,416,441/2,667,924
  6. Step 6: Final answer
    x = 12,791,327.05

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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.