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Finding the Third Proportional to 1,121,948 and 2,468,194

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Solution

The third proportional to 1,121,948 and 2,468,194 is: 5,429,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,948 : 2,468,194 = 2,468,194 : x
  2. Step 2: Convert to fraction form
    1,121,948/2,468,194 = 2,468,194/x
  3. Step 3: Cross multiply
    1,121,948x = 2,468,194 × 2,468,194
  4. Step 4: Simplify right side
    1,121,948x = 6,091,981,621,636
  5. Step 5: Solve for x
    x = 6,091,981,621,636/1,121,948
  6. Step 6: Final answer
    x = 5,429,825.29

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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.