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Finding the Third Proportional to 846,096 and 1,846,530

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Solution

The third proportional to 846,096 and 1,846,530 is: 4,029,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,096 : 1,846,530 = 1,846,530 : x
  2. Step 2: Convert to fraction form
    846,096/1,846,530 = 1,846,530/x
  3. Step 3: Cross multiply
    846,096x = 1,846,530 × 1,846,530
  4. Step 4: Simplify right side
    846,096x = 3,409,673,040,900
  5. Step 5: Solve for x
    x = 3,409,673,040,900/846,096
  6. Step 6: Final answer
    x = 4,029,889.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.