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Finding the Third Proportional to 401,967 and 882,693

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Solution

The third proportional to 401,967 and 882,693 is: 1,938,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,967 : 882,693 = 882,693 : x
  2. Step 2: Convert to fraction form
    401,967/882,693 = 882,693/x
  3. Step 3: Cross multiply
    401,967x = 882,693 × 882,693
  4. Step 4: Simplify right side
    401,967x = 779,146,932,249
  5. Step 5: Solve for x
    x = 779,146,932,249/401,967
  6. Step 6: Final answer
    x = 1,938,335.57

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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.