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Finding the Third Proportional to 2,098,862 and 3,241,052

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Solution

The third proportional to 2,098,862 and 3,241,052 is: 5,004,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,862 : 3,241,052 = 3,241,052 : x
  2. Step 2: Convert to fraction form
    2,098,862/3,241,052 = 3,241,052/x
  3. Step 3: Cross multiply
    2,098,862x = 3,241,052 × 3,241,052
  4. Step 4: Simplify right side
    2,098,862x = 10,504,418,066,704
  5. Step 5: Solve for x
    x = 10,504,418,066,704/2,098,862
  6. Step 6: Final answer
    x = 5,004,815.97

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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.