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Finding the Third Proportional to 387,022 and 821,024

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Solution

The third proportional to 387,022 and 821,024 is: 1,741,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,022 : 821,024 = 821,024 : x
  2. Step 2: Convert to fraction form
    387,022/821,024 = 821,024/x
  3. Step 3: Cross multiply
    387,022x = 821,024 × 821,024
  4. Step 4: Simplify right side
    387,022x = 674,080,408,576
  5. Step 5: Solve for x
    x = 674,080,408,576/387,022
  6. Step 6: Final answer
    x = 1,741,710.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.