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Finding the Third Proportional to 648,757 and 982,823

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Solution

The third proportional to 648,757 and 982,823 is: 1,488,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,757 : 982,823 = 982,823 : x
  2. Step 2: Convert to fraction form
    648,757/982,823 = 982,823/x
  3. Step 3: Cross multiply
    648,757x = 982,823 × 982,823
  4. Step 4: Simplify right side
    648,757x = 965,941,049,329
  5. Step 5: Solve for x
    x = 965,941,049,329/648,757
  6. Step 6: Final answer
    x = 1,488,910.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.