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Finding the Third Proportional to 438,072 and 941,622

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Solution

The third proportional to 438,072 and 941,622 is: 2,023,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,072 : 941,622 = 941,622 : x
  2. Step 2: Convert to fraction form
    438,072/941,622 = 941,622/x
  3. Step 3: Cross multiply
    438,072x = 941,622 × 941,622
  4. Step 4: Simplify right side
    438,072x = 886,651,990,884
  5. Step 5: Solve for x
    x = 886,651,990,884/438,072
  6. Step 6: Final answer
    x = 2,023,986.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.