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Finding the Third Proportional to 422,405 and 874,752

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Solution

The third proportional to 422,405 and 874,752 is: 1,811,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,405 : 874,752 = 874,752 : x
  2. Step 2: Convert to fraction form
    422,405/874,752 = 874,752/x
  3. Step 3: Cross multiply
    422,405x = 874,752 × 874,752
  4. Step 4: Simplify right side
    422,405x = 765,191,061,504
  5. Step 5: Solve for x
    x = 765,191,061,504/422,405
  6. Step 6: Final answer
    x = 1,811,510.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.