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Finding the Third Proportional to 584,518 and 1,257,812

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Solution

The third proportional to 584,518 and 1,257,812 is: 2,706,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,518 : 1,257,812 = 1,257,812 : x
  2. Step 2: Convert to fraction form
    584,518/1,257,812 = 1,257,812/x
  3. Step 3: Cross multiply
    584,518x = 1,257,812 × 1,257,812
  4. Step 4: Simplify right side
    584,518x = 1,582,091,027,344
  5. Step 5: Solve for x
    x = 1,582,091,027,344/584,518
  6. Step 6: Final answer
    x = 2,706,659.21

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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.