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Finding the Third Proportional to 792,120 and 1,682,408

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Solution

The third proportional to 792,120 and 1,682,408 is: 3,573,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,120 : 1,682,408 = 1,682,408 : x
  2. Step 2: Convert to fraction form
    792,120/1,682,408 = 1,682,408/x
  3. Step 3: Cross multiply
    792,120x = 1,682,408 × 1,682,408
  4. Step 4: Simplify right side
    792,120x = 2,830,496,678,464
  5. Step 5: Solve for x
    x = 2,830,496,678,464/792,120
  6. Step 6: Final answer
    x = 3,573,318.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.