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Finding the Third Proportional to 652,986 and 998,232

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Solution

The third proportional to 652,986 and 998,232 is: 1,526,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,986 : 998,232 = 998,232 : x
  2. Step 2: Convert to fraction form
    652,986/998,232 = 998,232/x
  3. Step 3: Cross multiply
    652,986x = 998,232 × 998,232
  4. Step 4: Simplify right side
    652,986x = 996,467,125,824
  5. Step 5: Solve for x
    x = 996,467,125,824/652,986
  6. Step 6: Final answer
    x = 1,526,016.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.