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Finding the Third Proportional to 1,536,823.13 and 3,339,361.69

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Solution

The third proportional to 1,536,823.13 and 3,339,361.69 is: 7,256,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,823.13 : 3,339,361.69 = 3,339,361.69 : x
  2. Step 2: Convert to fraction form
    1,536,823.13/3,339,361.69 = 3,339,361.69/x
  3. Step 3: Cross multiply
    1,536,823.13x = 3,339,361.69 × 3,339,361.69
  4. Step 4: Simplify right side
    1,536,823.13x = 11,151,336,479,942.85
  5. Step 5: Solve for x
    x = 11,151,336,479,942.85/1,536,823.13
  6. Step 6: Final answer
    x = 7,256,096.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.