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Finding the Third Proportional to 434,469 and 946,171

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Solution

The third proportional to 434,469 and 946,171 is: 2,060,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,469 : 946,171 = 946,171 : x
  2. Step 2: Convert to fraction form
    434,469/946,171 = 946,171/x
  3. Step 3: Cross multiply
    434,469x = 946,171 × 946,171
  4. Step 4: Simplify right side
    434,469x = 895,239,561,241
  5. Step 5: Solve for x
    x = 895,239,561,241/434,469
  6. Step 6: Final answer
    x = 2,060,537.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.