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Finding the Third Proportional to 835,728 and 1,273,182

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Solution

The third proportional to 835,728 and 1,273,182 is: 1,939,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,728 : 1,273,182 = 1,273,182 : x
  2. Step 2: Convert to fraction form
    835,728/1,273,182 = 1,273,182/x
  3. Step 3: Cross multiply
    835,728x = 1,273,182 × 1,273,182
  4. Step 4: Simplify right side
    835,728x = 1,620,992,405,124
  5. Step 5: Solve for x
    x = 1,620,992,405,124/835,728
  6. Step 6: Final answer
    x = 1,939,617.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.