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Finding the Third Proportional to 622,937 and 978,675

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Solution

The third proportional to 622,937 and 978,675 is: 1,537,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,937 : 978,675 = 978,675 : x
  2. Step 2: Convert to fraction form
    622,937/978,675 = 978,675/x
  3. Step 3: Cross multiply
    622,937x = 978,675 × 978,675
  4. Step 4: Simplify right side
    622,937x = 957,804,755,625
  5. Step 5: Solve for x
    x = 957,804,755,625/622,937
  6. Step 6: Final answer
    x = 1,537,562.80

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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.