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Finding the Third Proportional to 2,161,800 and 4,692,816

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Solution

The third proportional to 2,161,800 and 4,692,816 is: 10,187,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,800 : 4,692,816 = 4,692,816 : x
  2. Step 2: Convert to fraction form
    2,161,800/4,692,816 = 4,692,816/x
  3. Step 3: Cross multiply
    2,161,800x = 4,692,816 × 4,692,816
  4. Step 4: Simplify right side
    2,161,800x = 22,022,522,009,856
  5. Step 5: Solve for x
    x = 22,022,522,009,856/2,161,800
  6. Step 6: Final answer
    x = 10,187,122.77

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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.