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Finding the Third Proportional to 1,270,980 and 2,646,504

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Solution

The third proportional to 1,270,980 and 2,646,504 is: 5,510,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,980 : 2,646,504 = 2,646,504 : x
  2. Step 2: Convert to fraction form
    1,270,980/2,646,504 = 2,646,504/x
  3. Step 3: Cross multiply
    1,270,980x = 2,646,504 × 2,646,504
  4. Step 4: Simplify right side
    1,270,980x = 7,003,983,422,016
  5. Step 5: Solve for x
    x = 7,003,983,422,016/1,270,980
  6. Step 6: Final answer
    x = 5,510,695.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.