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Finding the Third Proportional to 635,136 and 983,008

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Solution

The third proportional to 635,136 and 983,008 is: 1,521,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,136 : 983,008 = 983,008 : x
  2. Step 2: Convert to fraction form
    635,136/983,008 = 983,008/x
  3. Step 3: Cross multiply
    635,136x = 983,008 × 983,008
  4. Step 4: Simplify right side
    635,136x = 966,304,728,064
  5. Step 5: Solve for x
    x = 966,304,728,064/635,136
  6. Step 6: Final answer
    x = 1,521,413.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.