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Finding the Third Proportional to 635,065 and 874,837

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Solution

The third proportional to 635,065 and 874,837 is: 1,205,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,065 : 874,837 = 874,837 : x
  2. Step 2: Convert to fraction form
    635,065/874,837 = 874,837/x
  3. Step 3: Cross multiply
    635,065x = 874,837 × 874,837
  4. Step 4: Simplify right side
    635,065x = 765,339,776,569
  5. Step 5: Solve for x
    x = 765,339,776,569/635,065
  6. Step 6: Final answer
    x = 1,205,136.13

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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.