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Finding the Third Proportional to 825,906 and 1,814,148

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Solution

The third proportional to 825,906 and 1,814,148 is: 3,984,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,906 : 1,814,148 = 1,814,148 : x
  2. Step 2: Convert to fraction form
    825,906/1,814,148 = 1,814,148/x
  3. Step 3: Cross multiply
    825,906x = 1,814,148 × 1,814,148
  4. Step 4: Simplify right side
    825,906x = 3,291,132,965,904
  5. Step 5: Solve for x
    x = 3,291,132,965,904/825,906
  6. Step 6: Final answer
    x = 3,984,875.96

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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.