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Finding the Third Proportional to 2,731,899 and 4,138,686

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Solution

The third proportional to 2,731,899 and 4,138,686 is: 6,269,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,899 : 4,138,686 = 4,138,686 : x
  2. Step 2: Convert to fraction form
    2,731,899/4,138,686 = 4,138,686/x
  3. Step 3: Cross multiply
    2,731,899x = 4,138,686 × 4,138,686
  4. Step 4: Simplify right side
    2,731,899x = 17,128,721,806,596
  5. Step 5: Solve for x
    x = 17,128,721,806,596/2,731,899
  6. Step 6: Final answer
    x = 6,269,895.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.