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Finding the Third Proportional to 582,642 and 1,271,200

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Solution

The third proportional to 582,642 and 1,271,200 is: 2,773,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,642 : 1,271,200 = 1,271,200 : x
  2. Step 2: Convert to fraction form
    582,642/1,271,200 = 1,271,200/x
  3. Step 3: Cross multiply
    582,642x = 1,271,200 × 1,271,200
  4. Step 4: Simplify right side
    582,642x = 1,615,949,440,000
  5. Step 5: Solve for x
    x = 1,615,949,440,000/582,642
  6. Step 6: Final answer
    x = 2,773,486.02

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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.