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Finding the Third Proportional to 976,711.50 and 2,093,597.50

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Solution

The third proportional to 976,711.50 and 2,093,597.50 is: 4,487,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,711.50 : 2,093,597.50 = 2,093,597.50 : x
  2. Step 2: Convert to fraction form
    976,711.50/2,093,597.50 = 2,093,597.50/x
  3. Step 3: Cross multiply
    976,711.50x = 2,093,597.50 × 2,093,597.50
  4. Step 4: Simplify right side
    976,711.50x = 4,383,150,492,006.25
  5. Step 5: Solve for x
    x = 4,383,150,492,006.25/976,711.50
  6. Step 6: Final answer
    x = 4,487,661.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.