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Finding the Third Proportional to 965,451 and 1,269,571

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Solution

The third proportional to 965,451 and 1,269,571 is: 1,669,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,451 : 1,269,571 = 1,269,571 : x
  2. Step 2: Convert to fraction form
    965,451/1,269,571 = 1,269,571/x
  3. Step 3: Cross multiply
    965,451x = 1,269,571 × 1,269,571
  4. Step 4: Simplify right side
    965,451x = 1,611,810,524,041
  5. Step 5: Solve for x
    x = 1,611,810,524,041/965,451
  6. Step 6: Final answer
    x = 1,669,489.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.