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Finding the Third Proportional to 1,297,466 and 2,066,119

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Solution

The third proportional to 1,297,466 and 2,066,119 is: 3,290,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,466 : 2,066,119 = 2,066,119 : x
  2. Step 2: Convert to fraction form
    1,297,466/2,066,119 = 2,066,119/x
  3. Step 3: Cross multiply
    1,297,466x = 2,066,119 × 2,066,119
  4. Step 4: Simplify right side
    1,297,466x = 4,268,847,722,161
  5. Step 5: Solve for x
    x = 4,268,847,722,161/1,297,466
  6. Step 6: Final answer
    x = 3,290,142.26

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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.