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Finding the Third Proportional to 447,792 and 946,122

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Solution

The third proportional to 447,792 and 946,122 is: 1,999,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,792 : 946,122 = 946,122 : x
  2. Step 2: Convert to fraction form
    447,792/946,122 = 946,122/x
  3. Step 3: Cross multiply
    447,792x = 946,122 × 946,122
  4. Step 4: Simplify right side
    447,792x = 895,146,838,884
  5. Step 5: Solve for x
    x = 895,146,838,884/447,792
  6. Step 6: Final answer
    x = 1,999,023.74

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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.