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Finding the Third Proportional to 582,648 and 1,271,220

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Solution

The third proportional to 582,648 and 1,271,220 is: 2,773,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,648 : 1,271,220 = 1,271,220 : x
  2. Step 2: Convert to fraction form
    582,648/1,271,220 = 1,271,220/x
  3. Step 3: Cross multiply
    582,648x = 1,271,220 × 1,271,220
  4. Step 4: Simplify right side
    582,648x = 1,616,000,288,400
  5. Step 5: Solve for x
    x = 1,616,000,288,400/582,648
  6. Step 6: Final answer
    x = 2,773,544.73

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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.