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Finding the Third Proportional to 582,392 and 1,245,757

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Solution

The third proportional to 582,392 and 1,245,757 is: 2,664,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,392 : 1,245,757 = 1,245,757 : x
  2. Step 2: Convert to fraction form
    582,392/1,245,757 = 1,245,757/x
  3. Step 3: Cross multiply
    582,392x = 1,245,757 × 1,245,757
  4. Step 4: Simplify right side
    582,392x = 1,551,910,503,049
  5. Step 5: Solve for x
    x = 1,551,910,503,049/582,392
  6. Step 6: Final answer
    x = 2,664,718.10

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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.