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Finding the Third Proportional to 582,243 and 1,273,104

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Solution

The third proportional to 582,243 and 1,273,104 is: 2,783,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,243 : 1,273,104 = 1,273,104 : x
  2. Step 2: Convert to fraction form
    582,243/1,273,104 = 1,273,104/x
  3. Step 3: Cross multiply
    582,243x = 1,273,104 × 1,273,104
  4. Step 4: Simplify right side
    582,243x = 1,620,793,794,816
  5. Step 5: Solve for x
    x = 1,620,793,794,816/582,243
  6. Step 6: Final answer
    x = 2,783,706.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.