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Finding the Third Proportional to 635,492 and 1,323,256

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Solution

The third proportional to 635,492 and 1,323,256 is: 2,755,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,492 : 1,323,256 = 1,323,256 : x
  2. Step 2: Convert to fraction form
    635,492/1,323,256 = 1,323,256/x
  3. Step 3: Cross multiply
    635,492x = 1,323,256 × 1,323,256
  4. Step 4: Simplify right side
    635,492x = 1,751,006,441,536
  5. Step 5: Solve for x
    x = 1,751,006,441,536/635,492
  6. Step 6: Final answer
    x = 2,755,355.60

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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.