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Finding the Third Proportional to 622,941 and 978,681

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Solution

The third proportional to 622,941 and 978,681 is: 1,537,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,941 : 978,681 = 978,681 : x
  2. Step 2: Convert to fraction form
    622,941/978,681 = 978,681/x
  3. Step 3: Cross multiply
    622,941x = 978,681 × 978,681
  4. Step 4: Simplify right side
    622,941x = 957,816,499,761
  5. Step 5: Solve for x
    x = 957,816,499,761/622,941
  6. Step 6: Final answer
    x = 1,537,571.78

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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.