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Finding the Third Proportional to 2,098,857 and 3,241,044

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Solution

The third proportional to 2,098,857 and 3,241,044 is: 5,004,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,857 : 3,241,044 = 3,241,044 : x
  2. Step 2: Convert to fraction form
    2,098,857/3,241,044 = 3,241,044/x
  3. Step 3: Cross multiply
    2,098,857x = 3,241,044 × 3,241,044
  4. Step 4: Simplify right side
    2,098,857x = 10,504,366,209,936
  5. Step 5: Solve for x
    x = 10,504,366,209,936/2,098,857
  6. Step 6: Final answer
    x = 5,004,803.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.