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Finding the Third Proportional to 762,816 and 1,677,976

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Solution

The third proportional to 762,816 and 1,677,976 is: 3,691,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,816 : 1,677,976 = 1,677,976 : x
  2. Step 2: Convert to fraction form
    762,816/1,677,976 = 1,677,976/x
  3. Step 3: Cross multiply
    762,816x = 1,677,976 × 1,677,976
  4. Step 4: Simplify right side
    762,816x = 2,815,603,456,576
  5. Step 5: Solve for x
    x = 2,815,603,456,576/762,816
  6. Step 6: Final answer
    x = 3,691,065.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.