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Finding the Third Proportional to 622,914 and 978,641

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Solution

The third proportional to 622,914 and 978,641 is: 1,537,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,914 : 978,641 = 978,641 : x
  2. Step 2: Convert to fraction form
    622,914/978,641 = 978,641/x
  3. Step 3: Cross multiply
    622,914x = 978,641 × 978,641
  4. Step 4: Simplify right side
    622,914x = 957,738,206,881
  5. Step 5: Solve for x
    x = 957,738,206,881/622,914
  6. Step 6: Final answer
    x = 1,537,512.73

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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.