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Finding the Third Proportional to 1,504,947 and 3,213,996

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Solution

The third proportional to 1,504,947 and 3,213,996 is: 6,863,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,947 : 3,213,996 = 3,213,996 : x
  2. Step 2: Convert to fraction form
    1,504,947/3,213,996 = 3,213,996/x
  3. Step 3: Cross multiply
    1,504,947x = 3,213,996 × 3,213,996
  4. Step 4: Simplify right side
    1,504,947x = 10,329,770,288,016
  5. Step 5: Solve for x
    x = 10,329,770,288,016/1,504,947
  6. Step 6: Final answer
    x = 6,863,876.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.