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Finding the Third Proportional to 447,796 and 946,130

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Solution

The third proportional to 447,796 and 946,130 is: 1,999,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,796 : 946,130 = 946,130 : x
  2. Step 2: Convert to fraction form
    447,796/946,130 = 946,130/x
  3. Step 3: Cross multiply
    447,796x = 946,130 × 946,130
  4. Step 4: Simplify right side
    447,796x = 895,161,976,900
  5. Step 5: Solve for x
    x = 895,161,976,900/447,796
  6. Step 6: Final answer
    x = 1,999,039.69

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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.