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Finding the Third Proportional to 456,794 and 983,578

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Solution

The third proportional to 456,794 and 983,578 is: 2,117,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,794 : 983,578 = 983,578 : x
  2. Step 2: Convert to fraction form
    456,794/983,578 = 983,578/x
  3. Step 3: Cross multiply
    456,794x = 983,578 × 983,578
  4. Step 4: Simplify right side
    456,794x = 967,425,682,084
  5. Step 5: Solve for x
    x = 967,425,682,084/456,794
  6. Step 6: Final answer
    x = 2,117,859.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.