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Finding the Third Proportional to 952,176 and 1,305,648

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Solution

The third proportional to 952,176 and 1,305,648 is: 1,790,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,176 : 1,305,648 = 1,305,648 : x
  2. Step 2: Convert to fraction form
    952,176/1,305,648 = 1,305,648/x
  3. Step 3: Cross multiply
    952,176x = 1,305,648 × 1,305,648
  4. Step 4: Simplify right side
    952,176x = 1,704,716,699,904
  5. Step 5: Solve for x
    x = 1,704,716,699,904/952,176
  6. Step 6: Final answer
    x = 1,790,337.82

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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.