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Finding the Third Proportional to 501,978 and 978,738

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Solution

The third proportional to 501,978 and 978,738 is: 1,908,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,978 : 978,738 = 978,738 : x
  2. Step 2: Convert to fraction form
    501,978/978,738 = 978,738/x
  3. Step 3: Cross multiply
    501,978x = 978,738 × 978,738
  4. Step 4: Simplify right side
    501,978x = 957,928,072,644
  5. Step 5: Solve for x
    x = 957,928,072,644/501,978
  6. Step 6: Final answer
    x = 1,908,306.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.