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Finding the Third Proportional to 471,508 and 964,805

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Solution

The third proportional to 471,508 and 964,805 is: 1,974,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,508 : 964,805 = 964,805 : x
  2. Step 2: Convert to fraction form
    471,508/964,805 = 964,805/x
  3. Step 3: Cross multiply
    471,508x = 964,805 × 964,805
  4. Step 4: Simplify right side
    471,508x = 930,848,688,025
  5. Step 5: Solve for x
    x = 930,848,688,025/471,508
  6. Step 6: Final answer
    x = 1,974,194.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.