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Finding the Third Proportional to 751,178.81 and 1,591,743.38

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Solution

The third proportional to 751,178.81 and 1,591,743.38 is: 3,372,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,178.81 : 1,591,743.38 = 1,591,743.38 : x
  2. Step 2: Convert to fraction form
    751,178.81/1,591,743.38 = 1,591,743.38/x
  3. Step 3: Cross multiply
    751,178.81x = 1,591,743.38 × 1,591,743.38
  4. Step 4: Simplify right side
    751,178.81x = 2,533,646,971,856.39
  5. Step 5: Solve for x
    x = 2,533,646,971,856.39/751,178.81
  6. Step 6: Final answer
    x = 3,372,894.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.