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Finding the Third Proportional to 680,404 and 1,464,812

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Solution

The third proportional to 680,404 and 1,464,812 is: 3,153,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,404 : 1,464,812 = 1,464,812 : x
  2. Step 2: Convert to fraction form
    680,404/1,464,812 = 1,464,812/x
  3. Step 3: Cross multiply
    680,404x = 1,464,812 × 1,464,812
  4. Step 4: Simplify right side
    680,404x = 2,145,674,195,344
  5. Step 5: Solve for x
    x = 2,145,674,195,344/680,404
  6. Step 6: Final answer
    x = 3,153,529.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.