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Finding the Third Proportional to 437,946 and 941,367

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Solution

The third proportional to 437,946 and 941,367 is: 2,023,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,946 : 941,367 = 941,367 : x
  2. Step 2: Convert to fraction form
    437,946/941,367 = 941,367/x
  3. Step 3: Cross multiply
    437,946x = 941,367 × 941,367
  4. Step 4: Simplify right side
    437,946x = 886,171,828,689
  5. Step 5: Solve for x
    x = 886,171,828,689/437,946
  6. Step 6: Final answer
    x = 2,023,472.82

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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.