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Finding the Third Proportional to 680,274 and 1,483,020

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Solution

The third proportional to 680,274 and 1,483,020 is: 3,233,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,274 : 1,483,020 = 1,483,020 : x
  2. Step 2: Convert to fraction form
    680,274/1,483,020 = 1,483,020/x
  3. Step 3: Cross multiply
    680,274x = 1,483,020 × 1,483,020
  4. Step 4: Simplify right side
    680,274x = 2,199,348,320,400
  5. Step 5: Solve for x
    x = 2,199,348,320,400/680,274
  6. Step 6: Final answer
    x = 3,233,033.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.