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Finding the Third Proportional to 494,640 and 1,066,080

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Solution

The third proportional to 494,640 and 1,066,080 is: 2,297,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,640 : 1,066,080 = 1,066,080 : x
  2. Step 2: Convert to fraction form
    494,640/1,066,080 = 1,066,080/x
  3. Step 3: Cross multiply
    494,640x = 1,066,080 × 1,066,080
  4. Step 4: Simplify right side
    494,640x = 1,136,526,566,400
  5. Step 5: Solve for x
    x = 1,136,526,566,400/494,640
  6. Step 6: Final answer
    x = 2,297,684.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.