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Finding the Third Proportional to 836,193 and 1,262,119.50

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Solution

The third proportional to 836,193 and 1,262,119.50 is: 1,904,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,193 : 1,262,119.50 = 1,262,119.50 : x
  2. Step 2: Convert to fraction form
    836,193/1,262,119.50 = 1,262,119.50/x
  3. Step 3: Cross multiply
    836,193x = 1,262,119.50 × 1,262,119.50
  4. Step 4: Simplify right side
    836,193x = 1,592,945,632,280.25
  5. Step 5: Solve for x
    x = 1,592,945,632,280.25/836,193
  6. Step 6: Final answer
    x = 1,904,997.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.