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Finding the Third Proportional to 635,461 and 1,399,826

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Solution

The third proportional to 635,461 and 1,399,826 is: 3,083,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,461 : 1,399,826 = 1,399,826 : x
  2. Step 2: Convert to fraction form
    635,461/1,399,826 = 1,399,826/x
  3. Step 3: Cross multiply
    635,461x = 1,399,826 × 1,399,826
  4. Step 4: Simplify right side
    635,461x = 1,959,512,830,276
  5. Step 5: Solve for x
    x = 1,959,512,830,276/635,461
  6. Step 6: Final answer
    x = 3,083,608.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.