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Finding the Third Proportional to 680,462 and 1,483,394

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Solution

The third proportional to 680,462 and 1,483,394 is: 3,233,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,462 : 1,483,394 = 1,483,394 : x
  2. Step 2: Convert to fraction form
    680,462/1,483,394 = 1,483,394/x
  3. Step 3: Cross multiply
    680,462x = 1,483,394 × 1,483,394
  4. Step 4: Simplify right side
    680,462x = 2,200,457,759,236
  5. Step 5: Solve for x
    x = 2,200,457,759,236/680,462
  6. Step 6: Final answer
    x = 3,233,770.23

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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.