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Finding the Third Proportional to 680,472 and 1,483,410

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Solution

The third proportional to 680,472 and 1,483,410 is: 3,233,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,472 : 1,483,410 = 1,483,410 : x
  2. Step 2: Convert to fraction form
    680,472/1,483,410 = 1,483,410/x
  3. Step 3: Cross multiply
    680,472x = 1,483,410 × 1,483,410
  4. Step 4: Simplify right side
    680,472x = 2,200,505,228,100
  5. Step 5: Solve for x
    x = 2,200,505,228,100/680,472
  6. Step 6: Final answer
    x = 3,233,792.47

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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.