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Finding the Third Proportional to 952,106 and 1,305,555

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Solution

The third proportional to 952,106 and 1,305,555 is: 1,790,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,106 : 1,305,555 = 1,305,555 : x
  2. Step 2: Convert to fraction form
    952,106/1,305,555 = 1,305,555/x
  3. Step 3: Cross multiply
    952,106x = 1,305,555 × 1,305,555
  4. Step 4: Simplify right side
    952,106x = 1,704,473,858,025
  5. Step 5: Solve for x
    x = 1,704,473,858,025/952,106
  6. Step 6: Final answer
    x = 1,790,214.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.