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Finding the Third Proportional to 455,021 and 978,731

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Solution

The third proportional to 455,021 and 978,731 is: 2,105,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,021 : 978,731 = 978,731 : x
  2. Step 2: Convert to fraction form
    455,021/978,731 = 978,731/x
  3. Step 3: Cross multiply
    455,021x = 978,731 × 978,731
  4. Step 4: Simplify right side
    455,021x = 957,914,370,361
  5. Step 5: Solve for x
    x = 957,914,370,361/455,021
  6. Step 6: Final answer
    x = 2,105,209.14

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Why These Related Problems?

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