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Finding the Third Proportional to 1,297,442 and 2,066,084

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Solution

The third proportional to 1,297,442 and 2,066,084 is: 3,290,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,442 : 2,066,084 = 2,066,084 : x
  2. Step 2: Convert to fraction form
    1,297,442/2,066,084 = 2,066,084/x
  3. Step 3: Cross multiply
    1,297,442x = 2,066,084 × 2,066,084
  4. Step 4: Simplify right side
    1,297,442x = 4,268,703,095,056
  5. Step 5: Solve for x
    x = 4,268,703,095,056/1,297,442
  6. Step 6: Final answer
    x = 3,290,091.65

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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.