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Finding the Third Proportional to 463,048 and 982,940

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Solution

The third proportional to 463,048 and 982,940 is: 2,086,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,048 : 982,940 = 982,940 : x
  2. Step 2: Convert to fraction form
    463,048/982,940 = 982,940/x
  3. Step 3: Cross multiply
    463,048x = 982,940 × 982,940
  4. Step 4: Simplify right side
    463,048x = 966,171,043,600
  5. Step 5: Solve for x
    x = 966,171,043,600/463,048
  6. Step 6: Final answer
    x = 2,086,546.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.