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Finding the Third Proportional to 501,968 and 978,718

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Solution

The third proportional to 501,968 and 978,718 is: 1,908,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,968 : 978,718 = 978,718 : x
  2. Step 2: Convert to fraction form
    501,968/978,718 = 978,718/x
  3. Step 3: Cross multiply
    501,968x = 978,718 × 978,718
  4. Step 4: Simplify right side
    501,968x = 957,888,923,524
  5. Step 5: Solve for x
    x = 957,888,923,524/501,968
  6. Step 6: Final answer
    x = 1,908,266.91

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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.