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Finding the Third Proportional to 649,326 and 998,614.50

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Solution

The third proportional to 649,326 and 998,614.50 is: 1,535,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,326 : 998,614.50 = 998,614.50 : x
  2. Step 2: Convert to fraction form
    649,326/998,614.50 = 998,614.50/x
  3. Step 3: Cross multiply
    649,326x = 998,614.50 × 998,614.50
  4. Step 4: Simplify right side
    649,326x = 997,230,919,610.25
  5. Step 5: Solve for x
    x = 997,230,919,610.25/649,326
  6. Step 6: Final answer
    x = 1,535,793.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.