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Finding the Third Proportional to 447,812 and 946,164

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Solution

The third proportional to 447,812 and 946,164 is: 1,999,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,812 : 946,164 = 946,164 : x
  2. Step 2: Convert to fraction form
    447,812/946,164 = 946,164/x
  3. Step 3: Cross multiply
    447,812x = 946,164 × 946,164
  4. Step 4: Simplify right side
    447,812x = 895,226,314,896
  5. Step 5: Solve for x
    x = 895,226,314,896/447,812
  6. Step 6: Final answer
    x = 1,999,111.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.