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Finding the Third Proportional to 447,830 and 946,216

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Solution

The third proportional to 447,830 and 946,216 is: 1,999,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,830 : 946,216 = 946,216 : x
  2. Step 2: Convert to fraction form
    447,830/946,216 = 946,216/x
  3. Step 3: Cross multiply
    447,830x = 946,216 × 946,216
  4. Step 4: Simplify right side
    447,830x = 895,324,718,656
  5. Step 5: Solve for x
    x = 895,324,718,656/447,830
  6. Step 6: Final answer
    x = 1,999,251.32

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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.