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Finding the Third Proportional to 967,180 and 1,453,201

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Solution

The third proportional to 967,180 and 1,453,201 is: 2,183,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,180 : 1,453,201 = 1,453,201 : x
  2. Step 2: Convert to fraction form
    967,180/1,453,201 = 1,453,201/x
  3. Step 3: Cross multiply
    967,180x = 1,453,201 × 1,453,201
  4. Step 4: Simplify right side
    967,180x = 2,111,793,146,401
  5. Step 5: Solve for x
    x = 2,111,793,146,401/967,180
  6. Step 6: Final answer
    x = 2,183,454.11

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