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Finding the Third Proportional to 635,914 and 1,347,644

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Solution

The third proportional to 635,914 and 1,347,644 is: 2,855,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,914 : 1,347,644 = 1,347,644 : x
  2. Step 2: Convert to fraction form
    635,914/1,347,644 = 1,347,644/x
  3. Step 3: Cross multiply
    635,914x = 1,347,644 × 1,347,644
  4. Step 4: Simplify right side
    635,914x = 1,816,144,350,736
  5. Step 5: Solve for x
    x = 1,816,144,350,736/635,914
  6. Step 6: Final answer
    x = 2,855,959.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.