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Finding the Third Proportional to 455,019 and 978,726

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Solution

The third proportional to 455,019 and 978,726 is: 2,105,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,019 : 978,726 = 978,726 : x
  2. Step 2: Convert to fraction form
    455,019/978,726 = 978,726/x
  3. Step 3: Cross multiply
    455,019x = 978,726 × 978,726
  4. Step 4: Simplify right side
    455,019x = 957,904,583,076
  5. Step 5: Solve for x
    x = 957,904,583,076/455,019
  6. Step 6: Final answer
    x = 2,105,196.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.