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Finding the Third Proportional to 582,419 and 1,245,799

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Solution

The third proportional to 582,419 and 1,245,799 is: 2,664,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,419 : 1,245,799 = 1,245,799 : x
  2. Step 2: Convert to fraction form
    582,419/1,245,799 = 1,245,799/x
  3. Step 3: Cross multiply
    582,419x = 1,245,799 × 1,245,799
  4. Step 4: Simplify right side
    582,419x = 1,552,015,148,401
  5. Step 5: Solve for x
    x = 1,552,015,148,401/582,419
  6. Step 6: Final answer
    x = 2,664,774.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.