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Finding the Third Proportional to 982,207.50 and 1,467,261.75

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Solution

The third proportional to 982,207.50 and 1,467,261.75 is: 2,191,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,207.50 : 1,467,261.75 = 1,467,261.75 : x
  2. Step 2: Convert to fraction form
    982,207.50/1,467,261.75 = 1,467,261.75/x
  3. Step 3: Cross multiply
    982,207.50x = 1,467,261.75 × 1,467,261.75
  4. Step 4: Simplify right side
    982,207.50x = 2,152,857,043,013.06
  5. Step 5: Solve for x
    x = 2,152,857,043,013.06/982,207.50
  6. Step 6: Final answer
    x = 2,191,855.63

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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.