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Finding the Third Proportional to 1,374,247.27 and 2,961,495.42

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Solution

The third proportional to 1,374,247.27 and 2,961,495.42 is: 6,382,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,247.27 : 2,961,495.42 = 2,961,495.42 : x
  2. Step 2: Convert to fraction form
    1,374,247.27/2,961,495.42 = 2,961,495.42/x
  3. Step 3: Cross multiply
    1,374,247.27x = 2,961,495.42 × 2,961,495.42
  4. Step 4: Simplify right side
    1,374,247.27x = 8,770,455,133,786.58
  5. Step 5: Solve for x
    x = 8,770,455,133,786.58/1,374,247.27
  6. Step 6: Final answer
    x = 6,382,006.61

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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.