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Finding the Third Proportional to 2,158,869 and 4,654,041

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Solution

The third proportional to 2,158,869 and 4,654,041 is: 10,033,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,869 : 4,654,041 = 4,654,041 : x
  2. Step 2: Convert to fraction form
    2,158,869/4,654,041 = 4,654,041/x
  3. Step 3: Cross multiply
    2,158,869x = 4,654,041 × 4,654,041
  4. Step 4: Simplify right side
    2,158,869x = 21,660,097,629,681
  5. Step 5: Solve for x
    x = 21,660,097,629,681/2,158,869
  6. Step 6: Final answer
    x = 10,033,076.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.