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Finding the Third Proportional to 874,872 and 1,351,024

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Solution

The third proportional to 874,872 and 1,351,024 is: 2,086,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,872 : 1,351,024 = 1,351,024 : x
  2. Step 2: Convert to fraction form
    874,872/1,351,024 = 1,351,024/x
  3. Step 3: Cross multiply
    874,872x = 1,351,024 × 1,351,024
  4. Step 4: Simplify right side
    874,872x = 1,825,265,848,576
  5. Step 5: Solve for x
    x = 1,825,265,848,576/874,872
  6. Step 6: Final answer
    x = 2,086,323.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.