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Finding the Third Proportional to 982,824 and 1,481,169

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Solution

The third proportional to 982,824 and 1,481,169 is: 2,232,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,824 : 1,481,169 = 1,481,169 : x
  2. Step 2: Convert to fraction form
    982,824/1,481,169 = 1,481,169/x
  3. Step 3: Cross multiply
    982,824x = 1,481,169 × 1,481,169
  4. Step 4: Simplify right side
    982,824x = 2,193,861,606,561
  5. Step 5: Solve for x
    x = 2,193,861,606,561/982,824
  6. Step 6: Final answer
    x = 2,232,201.91

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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.