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Finding the Third Proportional to 1,917,678.38 and 3,195,751.22

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Solution

The third proportional to 1,917,678.38 and 3,195,751.22 is: 5,325,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917,678.38 : 3,195,751.22 = 3,195,751.22 : x
  2. Step 2: Convert to fraction form
    1,917,678.38/3,195,751.22 = 3,195,751.22/x
  3. Step 3: Cross multiply
    1,917,678.38x = 3,195,751.22 × 3,195,751.22
  4. Step 4: Simplify right side
    1,917,678.38x = 10,212,825,852,142.11
  5. Step 5: Solve for x
    x = 10,212,825,852,142.11/1,917,678.38
  6. Step 6: Final answer
    x = 5,325,619.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.