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Finding the Third Proportional to 474,226 and 843,190

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Solution

The third proportional to 474,226 and 843,190 is: 1,499,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,226 : 843,190 = 843,190 : x
  2. Step 2: Convert to fraction form
    474,226/843,190 = 843,190/x
  3. Step 3: Cross multiply
    474,226x = 843,190 × 843,190
  4. Step 4: Simplify right side
    474,226x = 710,969,376,100
  5. Step 5: Solve for x
    x = 710,969,376,100/474,226
  6. Step 6: Final answer
    x = 1,499,220.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.