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Finding the Third Proportional to 825,927 and 1,250,322

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Solution

The third proportional to 825,927 and 1,250,322 is: 1,892,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,927 : 1,250,322 = 1,250,322 : x
  2. Step 2: Convert to fraction form
    825,927/1,250,322 = 1,250,322/x
  3. Step 3: Cross multiply
    825,927x = 1,250,322 × 1,250,322
  4. Step 4: Simplify right side
    825,927x = 1,563,305,103,684
  5. Step 5: Solve for x
    x = 1,563,305,103,684/825,927
  6. Step 6: Final answer
    x = 1,892,788.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.