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Finding the Third Proportional to 412,224 and 874,992

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Solution

The third proportional to 412,224 and 874,992 is: 1,857,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,224 : 874,992 = 874,992 : x
  2. Step 2: Convert to fraction form
    412,224/874,992 = 874,992/x
  3. Step 3: Cross multiply
    412,224x = 874,992 × 874,992
  4. Step 4: Simplify right side
    412,224x = 765,611,000,064
  5. Step 5: Solve for x
    x = 765,611,000,064/412,224
  6. Step 6: Final answer
    x = 1,857,269.35

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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.