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Finding the Third Proportional to 646,622 and 1,405,166

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Solution

The third proportional to 646,622 and 1,405,166 is: 3,053,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,622 : 1,405,166 = 1,405,166 : x
  2. Step 2: Convert to fraction form
    646,622/1,405,166 = 1,405,166/x
  3. Step 3: Cross multiply
    646,622x = 1,405,166 × 1,405,166
  4. Step 4: Simplify right side
    646,622x = 1,974,491,487,556
  5. Step 5: Solve for x
    x = 1,974,491,487,556/646,622
  6. Step 6: Final answer
    x = 3,053,548.27

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