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Finding the Third Proportional to 1,297,464 and 2,066,116

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Solution

The third proportional to 1,297,464 and 2,066,116 is: 3,290,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,464 : 2,066,116 = 2,066,116 : x
  2. Step 2: Convert to fraction form
    1,297,464/2,066,116 = 2,066,116/x
  3. Step 3: Cross multiply
    1,297,464x = 2,066,116 × 2,066,116
  4. Step 4: Simplify right side
    1,297,464x = 4,268,835,325,456
  5. Step 5: Solve for x
    x = 4,268,835,325,456/1,297,464
  6. Step 6: Final answer
    x = 3,290,137.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.