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Finding the Third Proportional to 927,843 and 1,421,716.50

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Solution

The third proportional to 927,843 and 1,421,716.50 is: 2,178,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,843 : 1,421,716.50 = 1,421,716.50 : x
  2. Step 2: Convert to fraction form
    927,843/1,421,716.50 = 1,421,716.50/x
  3. Step 3: Cross multiply
    927,843x = 1,421,716.50 × 1,421,716.50
  4. Step 4: Simplify right side
    927,843x = 2,021,277,806,372.25
  5. Step 5: Solve for x
    x = 2,021,277,806,372.25/927,843
  6. Step 6: Final answer
    x = 2,178,469.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.