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Finding the Third Proportional to 2,839,804 and 6,177,176

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Solution

The third proportional to 2,839,804 and 6,177,176 is: 13,436,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,804 : 6,177,176 = 6,177,176 : x
  2. Step 2: Convert to fraction form
    2,839,804/6,177,176 = 6,177,176/x
  3. Step 3: Cross multiply
    2,839,804x = 6,177,176 × 6,177,176
  4. Step 4: Simplify right side
    2,839,804x = 38,157,503,334,976
  5. Step 5: Solve for x
    x = 38,157,503,334,976/2,839,804
  6. Step 6: Final answer
    x = 13,436,667.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.