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Finding the Third Proportional to 969,030 and 2,263,356

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Solution

The third proportional to 969,030 and 2,263,356 is: 5,286,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,030 : 2,263,356 = 2,263,356 : x
  2. Step 2: Convert to fraction form
    969,030/2,263,356 = 2,263,356/x
  3. Step 3: Cross multiply
    969,030x = 2,263,356 × 2,263,356
  4. Step 4: Simplify right side
    969,030x = 5,122,780,382,736
  5. Step 5: Solve for x
    x = 5,122,780,382,736/969,030
  6. Step 6: Final answer
    x = 5,286,503.39

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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.