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Finding the Third Proportional to 3,670,171 and 5,643,796

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Solution

The third proportional to 3,670,171 and 5,643,796 is: 8,678,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,171 : 5,643,796 = 5,643,796 : x
  2. Step 2: Convert to fraction form
    3,670,171/5,643,796 = 5,643,796/x
  3. Step 3: Cross multiply
    3,670,171x = 5,643,796 × 5,643,796
  4. Step 4: Simplify right side
    3,670,171x = 31,852,433,289,616
  5. Step 5: Solve for x
    x = 31,852,433,289,616/3,670,171
  6. Step 6: Final answer
    x = 8,678,732.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.