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Finding the Third Proportional to 635,172 and 902,844

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Solution

The third proportional to 635,172 and 902,844 is: 1,283,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,172 : 902,844 = 902,844 : x
  2. Step 2: Convert to fraction form
    635,172/902,844 = 902,844/x
  3. Step 3: Cross multiply
    635,172x = 902,844 × 902,844
  4. Step 4: Simplify right side
    635,172x = 815,127,288,336
  5. Step 5: Solve for x
    x = 815,127,288,336/635,172
  6. Step 6: Final answer
    x = 1,283,317.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.