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Finding the Third Proportional to 622,923 and 978,654

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Solution

The third proportional to 622,923 and 978,654 is: 1,537,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,923 : 978,654 = 978,654 : x
  2. Step 2: Convert to fraction form
    622,923/978,654 = 978,654/x
  3. Step 3: Cross multiply
    622,923x = 978,654 × 978,654
  4. Step 4: Simplify right side
    622,923x = 957,763,651,716
  5. Step 5: Solve for x
    x = 957,763,651,716/622,923
  6. Step 6: Final answer
    x = 1,537,531.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.