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Finding the Third Proportional to 2,410,566 and 3,646,954

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Solution

The third proportional to 2,410,566 and 3,646,954 is: 5,517,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,566 : 3,646,954 = 3,646,954 : x
  2. Step 2: Convert to fraction form
    2,410,566/3,646,954 = 3,646,954/x
  3. Step 3: Cross multiply
    2,410,566x = 3,646,954 × 3,646,954
  4. Step 4: Simplify right side
    2,410,566x = 13,300,273,478,116
  5. Step 5: Solve for x
    x = 13,300,273,478,116/2,410,566
  6. Step 6: Final answer
    x = 5,517,489.87

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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.