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Finding the Third Proportional to 374,956 and 818,504

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Solution

The third proportional to 374,956 and 818,504 is: 1,786,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,956 : 818,504 = 818,504 : x
  2. Step 2: Convert to fraction form
    374,956/818,504 = 818,504/x
  3. Step 3: Cross multiply
    374,956x = 818,504 × 818,504
  4. Step 4: Simplify right side
    374,956x = 669,948,798,016
  5. Step 5: Solve for x
    x = 669,948,798,016/374,956
  6. Step 6: Final answer
    x = 1,786,739.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.