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Finding the Third Proportional to 982,208 and 1,467,262.50

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Solution

The third proportional to 982,208 and 1,467,262.50 is: 2,191,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,208 : 1,467,262.50 = 1,467,262.50 : x
  2. Step 2: Convert to fraction form
    982,208/1,467,262.50 = 1,467,262.50/x
  3. Step 3: Cross multiply
    982,208x = 1,467,262.50 × 1,467,262.50
  4. Step 4: Simplify right side
    982,208x = 2,152,859,243,906.25
  5. Step 5: Solve for x
    x = 2,152,859,243,906.25/982,208
  6. Step 6: Final answer
    x = 2,191,856.76

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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.