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Finding the Third Proportional to 382,954 and 818,036

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Solution

The third proportional to 382,954 and 818,036 is: 1,747,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,954 : 818,036 = 818,036 : x
  2. Step 2: Convert to fraction form
    382,954/818,036 = 818,036/x
  3. Step 3: Cross multiply
    382,954x = 818,036 × 818,036
  4. Step 4: Simplify right side
    382,954x = 669,182,897,296
  5. Step 5: Solve for x
    x = 669,182,897,296/382,954
  6. Step 6: Final answer
    x = 1,747,423.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.