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Finding the Third Proportional to 635,084 and 1,369,884

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Solution

The third proportional to 635,084 and 1,369,884 is: 2,954,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,084 : 1,369,884 = 1,369,884 : x
  2. Step 2: Convert to fraction form
    635,084/1,369,884 = 1,369,884/x
  3. Step 3: Cross multiply
    635,084x = 1,369,884 × 1,369,884
  4. Step 4: Simplify right side
    635,084x = 1,876,582,173,456
  5. Step 5: Solve for x
    x = 1,876,582,173,456/635,084
  6. Step 6: Final answer
    x = 2,954,856.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.