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Finding the Third Proportional to 450,997 and 978,943

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Solution

The third proportional to 450,997 and 978,943 is: 2,124,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,997 : 978,943 = 978,943 : x
  2. Step 2: Convert to fraction form
    450,997/978,943 = 978,943/x
  3. Step 3: Cross multiply
    450,997x = 978,943 × 978,943
  4. Step 4: Simplify right side
    450,997x = 958,329,397,249
  5. Step 5: Solve for x
    x = 958,329,397,249/450,997
  6. Step 6: Final answer
    x = 2,124,913.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.