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Finding the Third Proportional to 982,484 and 1,467,642

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Solution

The third proportional to 982,484 and 1,467,642 is: 2,192,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,484 : 1,467,642 = 1,467,642 : x
  2. Step 2: Convert to fraction form
    982,484/1,467,642 = 1,467,642/x
  3. Step 3: Cross multiply
    982,484x = 1,467,642 × 1,467,642
  4. Step 4: Simplify right side
    982,484x = 2,153,973,040,164
  5. Step 5: Solve for x
    x = 2,153,973,040,164/982,484
  6. Step 6: Final answer
    x = 2,192,374.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.