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Finding the Third Proportional to 2,099,537 and 4,605,857

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Solution

The third proportional to 2,099,537 and 4,605,857 is: 10,104,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,537 : 4,605,857 = 4,605,857 : x
  2. Step 2: Convert to fraction form
    2,099,537/4,605,857 = 4,605,857/x
  3. Step 3: Cross multiply
    2,099,537x = 4,605,857 × 4,605,857
  4. Step 4: Simplify right side
    2,099,537x = 21,213,918,704,449
  5. Step 5: Solve for x
    x = 21,213,918,704,449/2,099,537
  6. Step 6: Final answer
    x = 10,104,093.76

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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.