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Finding the Third Proportional to 635,124 and 982,990

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Solution

The third proportional to 635,124 and 982,990 is: 1,521,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,124 : 982,990 = 982,990 : x
  2. Step 2: Convert to fraction form
    635,124/982,990 = 982,990/x
  3. Step 3: Cross multiply
    635,124x = 982,990 × 982,990
  4. Step 4: Simplify right side
    635,124x = 966,269,340,100
  5. Step 5: Solve for x
    x = 966,269,340,100/635,124
  6. Step 6: Final answer
    x = 1,521,386.91

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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.