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Finding the Third Proportional to 969,056 and 2,263,367

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Solution

The third proportional to 969,056 and 2,263,367 is: 5,286,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,056 : 2,263,367 = 2,263,367 : x
  2. Step 2: Convert to fraction form
    969,056/2,263,367 = 2,263,367/x
  3. Step 3: Cross multiply
    969,056x = 2,263,367 × 2,263,367
  4. Step 4: Simplify right side
    969,056x = 5,122,830,176,689
  5. Step 5: Solve for x
    x = 5,122,830,176,689/969,056
  6. Step 6: Final answer
    x = 5,286,412.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.