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Finding the Third Proportional to 819,310.50 and 1,677,978

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Solution

The third proportional to 819,310.50 and 1,677,978 is: 3,436,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,310.50 : 1,677,978 = 1,677,978 : x
  2. Step 2: Convert to fraction form
    819,310.50/1,677,978 = 1,677,978/x
  3. Step 3: Cross multiply
    819,310.50x = 1,677,978 × 1,677,978
  4. Step 4: Simplify right side
    819,310.50x = 2,815,610,168,484
  5. Step 5: Solve for x
    x = 2,815,610,168,484/819,310.50
  6. Step 6: Final answer
    x = 3,436,560.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.