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Finding the Third Proportional to 469,464 and 978,636

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Solution

The third proportional to 469,464 and 978,636 is: 2,040,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,464 : 978,636 = 978,636 : x
  2. Step 2: Convert to fraction form
    469,464/978,636 = 978,636/x
  3. Step 3: Cross multiply
    469,464x = 978,636 × 978,636
  4. Step 4: Simplify right side
    469,464x = 957,728,420,496
  5. Step 5: Solve for x
    x = 957,728,420,496/469,464
  6. Step 6: Final answer
    x = 2,040,046.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.