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Finding the Third Proportional to 635,046 and 874,809

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Solution

The third proportional to 635,046 and 874,809 is: 1,205,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,046 : 874,809 = 874,809 : x
  2. Step 2: Convert to fraction form
    635,046/874,809 = 874,809/x
  3. Step 3: Cross multiply
    635,046x = 874,809 × 874,809
  4. Step 4: Simplify right side
    635,046x = 765,290,786,481
  5. Step 5: Solve for x
    x = 765,290,786,481/635,046
  6. Step 6: Final answer
    x = 1,205,095.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.