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Finding the Third Proportional to 824,578 and 1,790,158

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Solution

The third proportional to 824,578 and 1,790,158 is: 3,886,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,578 : 1,790,158 = 1,790,158 : x
  2. Step 2: Convert to fraction form
    824,578/1,790,158 = 1,790,158/x
  3. Step 3: Cross multiply
    824,578x = 1,790,158 × 1,790,158
  4. Step 4: Simplify right side
    824,578x = 3,204,665,664,964
  5. Step 5: Solve for x
    x = 3,204,665,664,964/824,578
  6. Step 6: Final answer
    x = 3,886,431.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.