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Finding the Third Proportional to 463,026 and 982,896

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Solution

The third proportional to 463,026 and 982,896 is: 2,086,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,026 : 982,896 = 982,896 : x
  2. Step 2: Convert to fraction form
    463,026/982,896 = 982,896/x
  3. Step 3: Cross multiply
    463,026x = 982,896 × 982,896
  4. Step 4: Simplify right side
    463,026x = 966,084,546,816
  5. Step 5: Solve for x
    x = 966,084,546,816/463,026
  6. Step 6: Final answer
    x = 2,086,458.53

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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.