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Finding the Third Proportional to 2,098,854 and 3,241,039.50

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Solution

The third proportional to 2,098,854 and 3,241,039.50 is: 5,004,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,854 : 3,241,039.50 = 3,241,039.50 : x
  2. Step 2: Convert to fraction form
    2,098,854/3,241,039.50 = 3,241,039.50/x
  3. Step 3: Cross multiply
    2,098,854x = 3,241,039.50 × 3,241,039.50
  4. Step 4: Simplify right side
    2,098,854x = 10,504,337,040,560.25
  5. Step 5: Solve for x
    x = 10,504,337,040,560.25/2,098,854
  6. Step 6: Final answer
    x = 5,004,796.45

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Why These Related Problems?

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