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Finding the Third Proportional to 649,800 and 1,504,188

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Solution

The third proportional to 649,800 and 1,504,188 is: 3,481,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,800 : 1,504,188 = 1,504,188 : x
  2. Step 2: Convert to fraction form
    649,800/1,504,188 = 1,504,188/x
  3. Step 3: Cross multiply
    649,800x = 1,504,188 × 1,504,188
  4. Step 4: Simplify right side
    649,800x = 2,262,581,539,344
  5. Step 5: Solve for x
    x = 2,262,581,539,344/649,800
  6. Step 6: Final answer
    x = 3,481,966.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.