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Finding the Third Proportional to 501,976 and 978,734

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Solution

The third proportional to 501,976 and 978,734 is: 1,908,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,976 : 978,734 = 978,734 : x
  2. Step 2: Convert to fraction form
    501,976/978,734 = 978,734/x
  3. Step 3: Cross multiply
    501,976x = 978,734 × 978,734
  4. Step 4: Simplify right side
    501,976x = 957,920,242,756
  5. Step 5: Solve for x
    x = 957,920,242,756/501,976
  6. Step 6: Final answer
    x = 1,908,298.89

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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.