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Finding the Third Proportional to 2,497,691 and 5,415,286

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Solution

The third proportional to 2,497,691 and 5,415,286 is: 11,740,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497,691 : 5,415,286 = 5,415,286 : x
  2. Step 2: Convert to fraction form
    2,497,691/5,415,286 = 5,415,286/x
  3. Step 3: Cross multiply
    2,497,691x = 5,415,286 × 5,415,286
  4. Step 4: Simplify right side
    2,497,691x = 29,325,322,461,796
  5. Step 5: Solve for x
    x = 29,325,322,461,796/2,497,691
  6. Step 6: Final answer
    x = 11,740,972.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.