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Finding the Third Proportional to 940,138 and 1,370,832

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Solution

The third proportional to 940,138 and 1,370,832 is: 1,998,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,138 : 1,370,832 = 1,370,832 : x
  2. Step 2: Convert to fraction form
    940,138/1,370,832 = 1,370,832/x
  3. Step 3: Cross multiply
    940,138x = 1,370,832 × 1,370,832
  4. Step 4: Simplify right side
    940,138x = 1,879,180,372,224
  5. Step 5: Solve for x
    x = 1,879,180,372,224/940,138
  6. Step 6: Final answer
    x = 1,998,834.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.