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Finding the Third Proportional to 635,120 and 982,984

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Solution

The third proportional to 635,120 and 982,984 is: 1,521,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,120 : 982,984 = 982,984 : x
  2. Step 2: Convert to fraction form
    635,120/982,984 = 982,984/x
  3. Step 3: Cross multiply
    635,120x = 982,984 × 982,984
  4. Step 4: Simplify right side
    635,120x = 966,257,544,256
  5. Step 5: Solve for x
    x = 966,257,544,256/635,120
  6. Step 6: Final answer
    x = 1,521,377.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.