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Finding the Third Proportional to 1,777,843 and 2,824,228.50

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Solution

The third proportional to 1,777,843 and 2,824,228.50 is: 4,486,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,843 : 2,824,228.50 = 2,824,228.50 : x
  2. Step 2: Convert to fraction form
    1,777,843/2,824,228.50 = 2,824,228.50/x
  3. Step 3: Cross multiply
    1,777,843x = 2,824,228.50 × 2,824,228.50
  4. Step 4: Simplify right side
    1,777,843x = 7,976,266,620,212.25
  5. Step 5: Solve for x
    x = 7,976,266,620,212.25/1,777,843
  6. Step 6: Final answer
    x = 4,486,485.38

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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.