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Finding the Third Proportional to 376,818 and 819,084.38

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Solution

The third proportional to 376,818 and 819,084.38 is: 1,780,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,818 : 819,084.38 = 819,084.38 : x
  2. Step 2: Convert to fraction form
    376,818/819,084.38 = 819,084.38/x
  3. Step 3: Cross multiply
    376,818x = 819,084.38 × 819,084.38
  4. Step 4: Simplify right side
    376,818x = 670,899,213,369.14
  5. Step 5: Solve for x
    x = 670,899,213,369.14/376,818
  6. Step 6: Final answer
    x = 1,780,433.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.