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Finding the Third Proportional to 649,876.50 and 1,475,934.75

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Solution

The third proportional to 649,876.50 and 1,475,934.75 is: 3,351,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,876.50 : 1,475,934.75 = 1,475,934.75 : x
  2. Step 2: Convert to fraction form
    649,876.50/1,475,934.75 = 1,475,934.75/x
  3. Step 3: Cross multiply
    649,876.50x = 1,475,934.75 × 1,475,934.75
  4. Step 4: Simplify right side
    649,876.50x = 2,178,383,386,257.56
  5. Step 5: Solve for x
    x = 2,178,383,386,257.56/649,876.50
  6. Step 6: Final answer
    x = 3,351,995.94

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.