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Finding the Third Proportional to 1,767,978 and 3,870,324

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Solution

The third proportional to 1,767,978 and 3,870,324 is: 8,472,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,978 : 3,870,324 = 3,870,324 : x
  2. Step 2: Convert to fraction form
    1,767,978/3,870,324 = 3,870,324/x
  3. Step 3: Cross multiply
    1,767,978x = 3,870,324 × 3,870,324
  4. Step 4: Simplify right side
    1,767,978x = 14,979,407,864,976
  5. Step 5: Solve for x
    x = 14,979,407,864,976/1,767,978
  6. Step 6: Final answer
    x = 8,472,621.19

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.