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Finding the Third Proportional to 582,278 and 1,273,174

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Solution

The third proportional to 582,278 and 1,273,174 is: 2,783,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,278 : 1,273,174 = 1,273,174 : x
  2. Step 2: Convert to fraction form
    582,278/1,273,174 = 1,273,174/x
  3. Step 3: Cross multiply
    582,278x = 1,273,174 × 1,273,174
  4. Step 4: Simplify right side
    582,278x = 1,620,972,034,276
  5. Step 5: Solve for x
    x = 1,620,972,034,276/582,278
  6. Step 6: Final answer
    x = 2,783,845.58

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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.