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Finding the Third Proportional to 2,667,897 and 5,854,314

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Solution

The third proportional to 2,667,897 and 5,854,314 is: 12,846,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667,897 : 5,854,314 = 5,854,314 : x
  2. Step 2: Convert to fraction form
    2,667,897/5,854,314 = 5,854,314/x
  3. Step 3: Cross multiply
    2,667,897x = 5,854,314 × 5,854,314
  4. Step 4: Simplify right side
    2,667,897x = 34,272,992,410,596
  5. Step 5: Solve for x
    x = 34,272,992,410,596/2,667,897
  6. Step 6: Final answer
    x = 12,846,445.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.