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Finding the Third Proportional to 965,769.75 and 2,099,459.25

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Solution

The third proportional to 965,769.75 and 2,099,459.25 is: 4,563,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,769.75 : 2,099,459.25 = 2,099,459.25 : x
  2. Step 2: Convert to fraction form
    965,769.75/2,099,459.25 = 2,099,459.25/x
  3. Step 3: Cross multiply
    965,769.75x = 2,099,459.25 × 2,099,459.25
  4. Step 4: Simplify right side
    965,769.75x = 4,407,729,142,410.56
  5. Step 5: Solve for x
    x = 4,407,729,142,410.56/965,769.75
  6. Step 6: Final answer
    x = 4,563,954.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.