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Finding the Third Proportional to 447,911 and 967,094

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Solution

The third proportional to 447,911 and 967,094 is: 2,088,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,911 : 967,094 = 967,094 : x
  2. Step 2: Convert to fraction form
    447,911/967,094 = 967,094/x
  3. Step 3: Cross multiply
    447,911x = 967,094 × 967,094
  4. Step 4: Simplify right side
    447,911x = 935,270,804,836
  5. Step 5: Solve for x
    x = 935,270,804,836/447,911
  6. Step 6: Final answer
    x = 2,088,072.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.