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Finding the Third Proportional to 940,104 and 1,412,242

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Solution

The third proportional to 940,104 and 1,412,242 is: 2,121,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,104 : 1,412,242 = 1,412,242 : x
  2. Step 2: Convert to fraction form
    940,104/1,412,242 = 1,412,242/x
  3. Step 3: Cross multiply
    940,104x = 1,412,242 × 1,412,242
  4. Step 4: Simplify right side
    940,104x = 1,994,427,466,564
  5. Step 5: Solve for x
    x = 1,994,427,466,564/940,104
  6. Step 6: Final answer
    x = 2,121,496.63

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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.