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Finding the Third Proportional to 2,139,816 and 3,174,336

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Solution

The third proportional to 2,139,816 and 3,174,336 is: 4,709,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,816 : 3,174,336 = 3,174,336 : x
  2. Step 2: Convert to fraction form
    2,139,816/3,174,336 = 3,174,336/x
  3. Step 3: Cross multiply
    2,139,816x = 3,174,336 × 3,174,336
  4. Step 4: Simplify right side
    2,139,816x = 10,076,409,040,896
  5. Step 5: Solve for x
    x = 10,076,409,040,896/2,139,816
  6. Step 6: Final answer
    x = 4,709,007.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.