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Finding the Third Proportional to 822,850.50 and 1,091,835

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Solution

The third proportional to 822,850.50 and 1,091,835 is: 1,448,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,850.50 : 1,091,835 = 1,091,835 : x
  2. Step 2: Convert to fraction form
    822,850.50/1,091,835 = 1,091,835/x
  3. Step 3: Cross multiply
    822,850.50x = 1,091,835 × 1,091,835
  4. Step 4: Simplify right side
    822,850.50x = 1,192,103,667,225
  5. Step 5: Solve for x
    x = 1,192,103,667,225/822,850.50
  6. Step 6: Final answer
    x = 1,448,748.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.