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Finding the Third Proportional to 1,770,175.69 and 3,798,415.69

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Solution

The third proportional to 1,770,175.69 and 3,798,415.69 is: 8,150,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,175.69 : 3,798,415.69 = 3,798,415.69 : x
  2. Step 2: Convert to fraction form
    1,770,175.69/3,798,415.69 = 3,798,415.69/x
  3. Step 3: Cross multiply
    1,770,175.69x = 3,798,415.69 × 3,798,415.69
  4. Step 4: Simplify right side
    1,770,175.69x = 14,427,961,735,046.10
  5. Step 5: Solve for x
    x = 14,427,961,735,046.10/1,770,175.69
  6. Step 6: Final answer
    x = 8,150,581.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.