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Finding the Third Proportional to 967,182 and 1,453,203

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Solution

The third proportional to 967,182 and 1,453,203 is: 2,183,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,182 : 1,453,203 = 1,453,203 : x
  2. Step 2: Convert to fraction form
    967,182/1,453,203 = 1,453,203/x
  3. Step 3: Cross multiply
    967,182x = 1,453,203 × 1,453,203
  4. Step 4: Simplify right side
    967,182x = 2,111,798,959,209
  5. Step 5: Solve for x
    x = 2,111,798,959,209/967,182
  6. Step 6: Final answer
    x = 2,183,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.