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Finding the Third Proportional to 401,962 and 882,818

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Solution

The third proportional to 401,962 and 882,818 is: 1,938,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,962 : 882,818 = 882,818 : x
  2. Step 2: Convert to fraction form
    401,962/882,818 = 882,818/x
  3. Step 3: Cross multiply
    401,962x = 882,818 × 882,818
  4. Step 4: Simplify right side
    401,962x = 779,367,621,124
  5. Step 5: Solve for x
    x = 779,367,621,124/401,962
  6. Step 6: Final answer
    x = 1,938,908.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.