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Finding the Third Proportional to 825,904 and 1,814,144

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Solution

The third proportional to 825,904 and 1,814,144 is: 3,984,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,904 : 1,814,144 = 1,814,144 : x
  2. Step 2: Convert to fraction form
    825,904/1,814,144 = 1,814,144/x
  3. Step 3: Cross multiply
    825,904x = 1,814,144 × 1,814,144
  4. Step 4: Simplify right side
    825,904x = 3,291,118,452,736
  5. Step 5: Solve for x
    x = 3,291,118,452,736/825,904
  6. Step 6: Final answer
    x = 3,984,868.04

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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.