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Finding the Third Proportional to 1,647,493 and 3,578,352

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Solution

The third proportional to 1,647,493 and 3,578,352 is: 7,772,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,493 : 3,578,352 = 3,578,352 : x
  2. Step 2: Convert to fraction form
    1,647,493/3,578,352 = 3,578,352/x
  3. Step 3: Cross multiply
    1,647,493x = 3,578,352 × 3,578,352
  4. Step 4: Simplify right side
    1,647,493x = 12,804,603,035,904
  5. Step 5: Solve for x
    x = 12,804,603,035,904/1,647,493
  6. Step 6: Final answer
    x = 7,772,174.47

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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.