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Finding the Third Proportional to 1,297,074 and 2,072,086

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Solution

The third proportional to 1,297,074 and 2,072,086 is: 3,310,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,074 : 2,072,086 = 2,072,086 : x
  2. Step 2: Convert to fraction form
    1,297,074/2,072,086 = 2,072,086/x
  3. Step 3: Cross multiply
    1,297,074x = 2,072,086 × 2,072,086
  4. Step 4: Simplify right side
    1,297,074x = 4,293,540,391,396
  5. Step 5: Solve for x
    x = 4,293,540,391,396/1,297,074
  6. Step 6: Final answer
    x = 3,310,173.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.