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Finding the Third Proportional to 635,478 and 1,323,228

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Solution

The third proportional to 635,478 and 1,323,228 is: 2,755,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,478 : 1,323,228 = 1,323,228 : x
  2. Step 2: Convert to fraction form
    635,478/1,323,228 = 1,323,228/x
  3. Step 3: Cross multiply
    635,478x = 1,323,228 × 1,323,228
  4. Step 4: Simplify right side
    635,478x = 1,750,932,339,984
  5. Step 5: Solve for x
    x = 1,750,932,339,984/635,478
  6. Step 6: Final answer
    x = 2,755,299.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.