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Finding the Third Proportional to 447,943.50 and 970,604.25

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Solution

The third proportional to 447,943.50 and 970,604.25 is: 2,103,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,943.50 : 970,604.25 = 970,604.25 : x
  2. Step 2: Convert to fraction form
    447,943.50/970,604.25 = 970,604.25/x
  3. Step 3: Cross multiply
    447,943.50x = 970,604.25 × 970,604.25
  4. Step 4: Simplify right side
    447,943.50x = 942,072,610,118.06
  5. Step 5: Solve for x
    x = 942,072,610,118.06/447,943.50
  6. Step 6: Final answer
    x = 2,103,105.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.