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Finding the Third Proportional to 646,620 and 1,405,162

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Solution

The third proportional to 646,620 and 1,405,162 is: 3,053,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,620 : 1,405,162 = 1,405,162 : x
  2. Step 2: Convert to fraction form
    646,620/1,405,162 = 1,405,162/x
  3. Step 3: Cross multiply
    646,620x = 1,405,162 × 1,405,162
  4. Step 4: Simplify right side
    646,620x = 1,974,480,246,244
  5. Step 5: Solve for x
    x = 1,974,480,246,244/646,620
  6. Step 6: Final answer
    x = 3,053,540.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.