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Finding the Third Proportional to 940,192 and 1,412,360

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Solution

The third proportional to 940,192 and 1,412,360 is: 2,121,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,192 : 1,412,360 = 1,412,360 : x
  2. Step 2: Convert to fraction form
    940,192/1,412,360 = 1,412,360/x
  3. Step 3: Cross multiply
    940,192x = 1,412,360 × 1,412,360
  4. Step 4: Simplify right side
    940,192x = 1,994,760,769,600
  5. Step 5: Solve for x
    x = 1,994,760,769,600/940,192
  6. Step 6: Final answer
    x = 2,121,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.