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Finding the Third Proportional to 582,800 and 1,271,512

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Solution

The third proportional to 582,800 and 1,271,512 is: 2,774,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,800 : 1,271,512 = 1,271,512 : x
  2. Step 2: Convert to fraction form
    582,800/1,271,512 = 1,271,512/x
  3. Step 3: Cross multiply
    582,800x = 1,271,512 × 1,271,512
  4. Step 4: Simplify right side
    582,800x = 1,616,742,766,144
  5. Step 5: Solve for x
    x = 1,616,742,766,144/582,800
  6. Step 6: Final answer
    x = 2,774,095.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.