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Finding the Third Proportional to 2,098,869 and 3,241,062

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Solution

The third proportional to 2,098,869 and 3,241,062 is: 5,004,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,869 : 3,241,062 = 3,241,062 : x
  2. Step 2: Convert to fraction form
    2,098,869/3,241,062 = 3,241,062/x
  3. Step 3: Cross multiply
    2,098,869x = 3,241,062 × 3,241,062
  4. Step 4: Simplify right side
    2,098,869x = 10,504,482,887,844
  5. Step 5: Solve for x
    x = 10,504,482,887,844/2,098,869
  6. Step 6: Final answer
    x = 5,004,830.17

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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.