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Finding the Third Proportional to 582,876 and 1,255,176

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Solution

The third proportional to 582,876 and 1,255,176 is: 2,702,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,876 : 1,255,176 = 1,255,176 : x
  2. Step 2: Convert to fraction form
    582,876/1,255,176 = 1,255,176/x
  3. Step 3: Cross multiply
    582,876x = 1,255,176 × 1,255,176
  4. Step 4: Simplify right side
    582,876x = 1,575,466,790,976
  5. Step 5: Solve for x
    x = 1,575,466,790,976/582,876
  6. Step 6: Final answer
    x = 2,702,919.30

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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.