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Finding the Third Proportional to 952,138 and 1,305,603

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Solution

The third proportional to 952,138 and 1,305,603 is: 1,790,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,138 : 1,305,603 = 1,305,603 : x
  2. Step 2: Convert to fraction form
    952,138/1,305,603 = 1,305,603/x
  3. Step 3: Cross multiply
    952,138x = 1,305,603 × 1,305,603
  4. Step 4: Simplify right side
    952,138x = 1,704,599,193,609
  5. Step 5: Solve for x
    x = 1,704,599,193,609/952,138
  6. Step 6: Final answer
    x = 1,790,285.86

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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.