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Finding the Third Proportional to 1,769,085 and 2,420,850.38

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Solution

The third proportional to 1,769,085 and 2,420,850.38 is: 3,312,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,085 : 2,420,850.38 = 2,420,850.38 : x
  2. Step 2: Convert to fraction form
    1,769,085/2,420,850.38 = 2,420,850.38/x
  3. Step 3: Cross multiply
    1,769,085x = 2,420,850.38 × 2,420,850.38
  4. Step 4: Simplify right side
    1,769,085x = 5,860,516,538,137.64
  5. Step 5: Solve for x
    x = 5,860,516,538,137.64/1,769,085
  6. Step 6: Final answer
    x = 3,312,738.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.