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Finding the Third Proportional to 635,178 and 902,859

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Solution

The third proportional to 635,178 and 902,859 is: 1,283,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,178 : 902,859 = 902,859 : x
  2. Step 2: Convert to fraction form
    635,178/902,859 = 902,859/x
  3. Step 3: Cross multiply
    635,178x = 902,859 × 902,859
  4. Step 4: Simplify right side
    635,178x = 815,154,373,881
  5. Step 5: Solve for x
    x = 815,154,373,881/635,178
  6. Step 6: Final answer
    x = 1,283,347.93

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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.