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Finding the Third Proportional to 455,020 and 978,728

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Solution

The third proportional to 455,020 and 978,728 is: 2,105,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,020 : 978,728 = 978,728 : x
  2. Step 2: Convert to fraction form
    455,020/978,728 = 978,728/x
  3. Step 3: Cross multiply
    455,020x = 978,728 × 978,728
  4. Step 4: Simplify right side
    455,020x = 957,908,497,984
  5. Step 5: Solve for x
    x = 957,908,497,984/455,020
  6. Step 6: Final answer
    x = 2,105,200.87

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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.