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Finding the Third Proportional to 1,236,869 and 2,685,241

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Solution

The third proportional to 1,236,869 and 2,685,241 is: 5,829,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,869 : 2,685,241 = 2,685,241 : x
  2. Step 2: Convert to fraction form
    1,236,869/2,685,241 = 2,685,241/x
  3. Step 3: Cross multiply
    1,236,869x = 2,685,241 × 2,685,241
  4. Step 4: Simplify right side
    1,236,869x = 7,210,519,228,081
  5. Step 5: Solve for x
    x = 7,210,519,228,081/1,236,869
  6. Step 6: Final answer
    x = 5,829,654.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.