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Finding the Third Proportional to 2,098,849.50 and 3,241,032.75

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Solution

The third proportional to 2,098,849.50 and 3,241,032.75 is: 5,004,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,849.50 : 3,241,032.75 = 3,241,032.75 : x
  2. Step 2: Convert to fraction form
    2,098,849.50/3,241,032.75 = 3,241,032.75/x
  3. Step 3: Cross multiply
    2,098,849.50x = 3,241,032.75 × 3,241,032.75
  4. Step 4: Simplify right side
    2,098,849.50x = 10,504,293,286,572.56
  5. Step 5: Solve for x
    x = 10,504,293,286,572.56/2,098,849.50
  6. Step 6: Final answer
    x = 5,004,786.33

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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.