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Finding the Third Proportional to 968,843.81 and 2,262,936.94

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Solution

The third proportional to 968,843.81 and 2,262,936.94 is: 5,285,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,843.81 : 2,262,936.94 = 2,262,936.94 : x
  2. Step 2: Convert to fraction form
    968,843.81/2,262,936.94 = 2,262,936.94/x
  3. Step 3: Cross multiply
    968,843.81x = 2,262,936.94 × 2,262,936.94
  4. Step 4: Simplify right side
    968,843.81x = 5,120,883,583,101.88
  5. Step 5: Solve for x
    x = 5,120,883,583,101.88/968,843.81
  6. Step 6: Final answer
    x = 5,285,561.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.