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Finding the Third Proportional to 2,410,562 and 3,646,947

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Solution

The third proportional to 2,410,562 and 3,646,947 is: 5,517,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,562 : 3,646,947 = 3,646,947 : x
  2. Step 2: Convert to fraction form
    2,410,562/3,646,947 = 3,646,947/x
  3. Step 3: Cross multiply
    2,410,562x = 3,646,947 × 3,646,947
  4. Step 4: Simplify right side
    2,410,562x = 13,300,222,420,809
  5. Step 5: Solve for x
    x = 13,300,222,420,809/2,410,562
  6. Step 6: Final answer
    x = 5,517,477.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.