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Finding the Third Proportional to 982,108 and 1,532,856

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Solution

The third proportional to 982,108 and 1,532,856 is: 2,392,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,108 : 1,532,856 = 1,532,856 : x
  2. Step 2: Convert to fraction form
    982,108/1,532,856 = 1,532,856/x
  3. Step 3: Cross multiply
    982,108x = 1,532,856 × 1,532,856
  4. Step 4: Simplify right side
    982,108x = 2,349,647,516,736
  5. Step 5: Solve for x
    x = 2,349,647,516,736/982,108
  6. Step 6: Final answer
    x = 2,392,453.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.