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Finding the Third Proportional to 792,129 and 1,682,426

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Solution

The third proportional to 792,129 and 1,682,426 is: 3,573,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,129 : 1,682,426 = 1,682,426 : x
  2. Step 2: Convert to fraction form
    792,129/1,682,426 = 1,682,426/x
  3. Step 3: Cross multiply
    792,129x = 1,682,426 × 1,682,426
  4. Step 4: Simplify right side
    792,129x = 2,830,557,245,476
  5. Step 5: Solve for x
    x = 2,830,557,245,476/792,129
  6. Step 6: Final answer
    x = 3,573,353.89

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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.