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Finding the Third Proportional to 946,508 and 2,052,716

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Solution

The third proportional to 946,508 and 2,052,716 is: 4,451,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,508 : 2,052,716 = 2,052,716 : x
  2. Step 2: Convert to fraction form
    946,508/2,052,716 = 2,052,716/x
  3. Step 3: Cross multiply
    946,508x = 2,052,716 × 2,052,716
  4. Step 4: Simplify right side
    946,508x = 4,213,642,976,656
  5. Step 5: Solve for x
    x = 4,213,642,976,656/946,508
  6. Step 6: Final answer
    x = 4,451,777.46

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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.