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Finding the Third Proportional to 984,072 and 2,131,362

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Solution

The third proportional to 984,072 and 2,131,362 is: 4,616,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,072 : 2,131,362 = 2,131,362 : x
  2. Step 2: Convert to fraction form
    984,072/2,131,362 = 2,131,362/x
  3. Step 3: Cross multiply
    984,072x = 2,131,362 × 2,131,362
  4. Step 4: Simplify right side
    984,072x = 4,542,703,975,044
  5. Step 5: Solve for x
    x = 4,542,703,975,044/984,072
  6. Step 6: Final answer
    x = 4,616,231.31

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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.