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Finding the Third Proportional to 792,069 and 1,682,306

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Solution

The third proportional to 792,069 and 1,682,306 is: 3,573,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,069 : 1,682,306 = 1,682,306 : x
  2. Step 2: Convert to fraction form
    792,069/1,682,306 = 1,682,306/x
  3. Step 3: Cross multiply
    792,069x = 1,682,306 × 1,682,306
  4. Step 4: Simplify right side
    792,069x = 2,830,153,477,636
  5. Step 5: Solve for x
    x = 2,830,153,477,636/792,069
  6. Step 6: Final answer
    x = 3,573,114.81

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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.