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Finding the Third Proportional to 680,344 and 1,489,586

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Solution

The third proportional to 680,344 and 1,489,586 is: 3,261,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,344 : 1,489,586 = 1,489,586 : x
  2. Step 2: Convert to fraction form
    680,344/1,489,586 = 1,489,586/x
  3. Step 3: Cross multiply
    680,344x = 1,489,586 × 1,489,586
  4. Step 4: Simplify right side
    680,344x = 2,218,866,451,396
  5. Step 5: Solve for x
    x = 2,218,866,451,396/680,344
  6. Step 6: Final answer
    x = 3,261,389.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.