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Finding the Third Proportional to 582,996 and 1,255,416

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Solution

The third proportional to 582,996 and 1,255,416 is: 2,703,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,996 : 1,255,416 = 1,255,416 : x
  2. Step 2: Convert to fraction form
    582,996/1,255,416 = 1,255,416/x
  3. Step 3: Cross multiply
    582,996x = 1,255,416 × 1,255,416
  4. Step 4: Simplify right side
    582,996x = 1,576,069,333,056
  5. Step 5: Solve for x
    x = 1,576,069,333,056/582,996
  6. Step 6: Final answer
    x = 2,703,396.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.