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Finding the Third Proportional to 2,182,874 and 4,591,970

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Solution

The third proportional to 2,182,874 and 4,591,970 is: 9,659,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,874 : 4,591,970 = 4,591,970 : x
  2. Step 2: Convert to fraction form
    2,182,874/4,591,970 = 4,591,970/x
  3. Step 3: Cross multiply
    2,182,874x = 4,591,970 × 4,591,970
  4. Step 4: Simplify right side
    2,182,874x = 21,086,188,480,900
  5. Step 5: Solve for x
    x = 21,086,188,480,900/2,182,874
  6. Step 6: Final answer
    x = 9,659,828.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.