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Finding the Third Proportional to 1,651,215.38 and 2,325,297.38

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Solution

The third proportional to 1,651,215.38 and 2,325,297.38 is: 3,274,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,215.38 : 2,325,297.38 = 2,325,297.38 : x
  2. Step 2: Convert to fraction form
    1,651,215.38/2,325,297.38 = 2,325,297.38/x
  3. Step 3: Cross multiply
    1,651,215.38x = 2,325,297.38 × 2,325,297.38
  4. Step 4: Simplify right side
    1,651,215.38x = 5,407,007,882,181.89
  5. Step 5: Solve for x
    x = 5,407,007,882,181.89/1,651,215.38
  6. Step 6: Final answer
    x = 3,274,562.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.