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Finding the Third Proportional to 984,082 and 2,131,370

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Solution

The third proportional to 984,082 and 2,131,370 is: 4,616,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,082 : 2,131,370 = 2,131,370 : x
  2. Step 2: Convert to fraction form
    984,082/2,131,370 = 2,131,370/x
  3. Step 3: Cross multiply
    984,082x = 2,131,370 × 2,131,370
  4. Step 4: Simplify right side
    984,082x = 4,542,738,076,900
  5. Step 5: Solve for x
    x = 4,542,738,076,900/984,082
  6. Step 6: Final answer
    x = 4,616,219.05

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Why These Related Problems?

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