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Finding the Third Proportional to 2,610,864 and 3,802,680

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Solution

The third proportional to 2,610,864 and 3,802,680 is: 5,538,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610,864 : 3,802,680 = 3,802,680 : x
  2. Step 2: Convert to fraction form
    2,610,864/3,802,680 = 3,802,680/x
  3. Step 3: Cross multiply
    2,610,864x = 3,802,680 × 3,802,680
  4. Step 4: Simplify right side
    2,610,864x = 14,460,375,182,400
  5. Step 5: Solve for x
    x = 14,460,375,182,400/2,610,864
  6. Step 6: Final answer
    x = 5,538,540.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.