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Finding the Third Proportional to 2,824,478 and 4,181,847

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Solution

The third proportional to 2,824,478 and 4,181,847 is: 6,191,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,478 : 4,181,847 = 4,181,847 : x
  2. Step 2: Convert to fraction form
    2,824,478/4,181,847 = 4,181,847/x
  3. Step 3: Cross multiply
    2,824,478x = 4,181,847 × 4,181,847
  4. Step 4: Simplify right side
    2,824,478x = 17,487,844,331,409
  5. Step 5: Solve for x
    x = 17,487,844,331,409/2,824,478
  6. Step 6: Final answer
    x = 6,191,531.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.