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Finding the Third Proportional to 622,922 and 978,653

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Solution

The third proportional to 622,922 and 978,653 is: 1,537,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,922 : 978,653 = 978,653 : x
  2. Step 2: Convert to fraction form
    622,922/978,653 = 978,653/x
  3. Step 3: Cross multiply
    622,922x = 978,653 × 978,653
  4. Step 4: Simplify right side
    622,922x = 957,761,694,409
  5. Step 5: Solve for x
    x = 957,761,694,409/622,922
  6. Step 6: Final answer
    x = 1,537,530.69

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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.