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Finding the Third Proportional to 626,892 and 946,170

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Solution

The third proportional to 626,892 and 946,170 is: 1,428,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,892 : 946,170 = 946,170 : x
  2. Step 2: Convert to fraction form
    626,892/946,170 = 946,170/x
  3. Step 3: Cross multiply
    626,892x = 946,170 × 946,170
  4. Step 4: Simplify right side
    626,892x = 895,237,668,900
  5. Step 5: Solve for x
    x = 895,237,668,900/626,892
  6. Step 6: Final answer
    x = 1,428,057.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.