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Finding the Third Proportional to 401,932 and 884,826

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Solution

The third proportional to 401,932 and 884,826 is: 1,947,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,932 : 884,826 = 884,826 : x
  2. Step 2: Convert to fraction form
    401,932/884,826 = 884,826/x
  3. Step 3: Cross multiply
    401,932x = 884,826 × 884,826
  4. Step 4: Simplify right side
    401,932x = 782,917,050,276
  5. Step 5: Solve for x
    x = 782,917,050,276/401,932
  6. Step 6: Final answer
    x = 1,947,884.34

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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.