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Finding the Third Proportional to 445,992.75 and 949,617

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Solution

The third proportional to 445,992.75 and 949,617 is: 2,021,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,992.75 : 949,617 = 949,617 : x
  2. Step 2: Convert to fraction form
    445,992.75/949,617 = 949,617/x
  3. Step 3: Cross multiply
    445,992.75x = 949,617 × 949,617
  4. Step 4: Simplify right side
    445,992.75x = 901,772,446,689
  5. Step 5: Solve for x
    x = 901,772,446,689/445,992.75
  6. Step 6: Final answer
    x = 2,021,944.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.