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Finding the Third Proportional to 451,164.94 and 1,003,195.13

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Solution

The third proportional to 451,164.94 and 1,003,195.13 is: 2,230,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,164.94 : 1,003,195.13 = 1,003,195.13 : x
  2. Step 2: Convert to fraction form
    451,164.94/1,003,195.13 = 1,003,195.13/x
  3. Step 3: Cross multiply
    451,164.94x = 1,003,195.13 × 1,003,195.13
  4. Step 4: Simplify right side
    451,164.94x = 1,006,400,458,823.77
  5. Step 5: Solve for x
    x = 1,006,400,458,823.77/451,164.94
  6. Step 6: Final answer
    x = 2,230,670.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.