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Finding the Third Proportional to 582,482 and 1,245,942

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Solution

The third proportional to 582,482 and 1,245,942 is: 2,665,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,482 : 1,245,942 = 1,245,942 : x
  2. Step 2: Convert to fraction form
    582,482/1,245,942 = 1,245,942/x
  3. Step 3: Cross multiply
    582,482x = 1,245,942 × 1,245,942
  4. Step 4: Simplify right side
    582,482x = 1,552,371,467,364
  5. Step 5: Solve for x
    x = 1,552,371,467,364/582,482
  6. Step 6: Final answer
    x = 2,665,097.75

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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.