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Finding the Third Proportional to 1,777,847 and 2,824,235

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Solution

The third proportional to 1,777,847 and 2,824,235 is: 4,486,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,847 : 2,824,235 = 2,824,235 : x
  2. Step 2: Convert to fraction form
    1,777,847/2,824,235 = 2,824,235/x
  3. Step 3: Cross multiply
    1,777,847x = 2,824,235 × 2,824,235
  4. Step 4: Simplify right side
    1,777,847x = 7,976,303,335,225
  5. Step 5: Solve for x
    x = 7,976,303,335,225/1,777,847
  6. Step 6: Final answer
    x = 4,486,495.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.