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Finding the Third Proportional to 582,256 and 1,273,130

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Solution

The third proportional to 582,256 and 1,273,130 is: 2,783,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,256 : 1,273,130 = 1,273,130 : x
  2. Step 2: Convert to fraction form
    582,256/1,273,130 = 1,273,130/x
  3. Step 3: Cross multiply
    582,256x = 1,273,130 × 1,273,130
  4. Step 4: Simplify right side
    582,256x = 1,620,859,996,900
  5. Step 5: Solve for x
    x = 1,620,859,996,900/582,256
  6. Step 6: Final answer
    x = 2,783,758.34

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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.