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Finding the Third Proportional to 792,103.50 and 1,682,376

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Solution

The third proportional to 792,103.50 and 1,682,376 is: 3,573,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,103.50 : 1,682,376 = 1,682,376 : x
  2. Step 2: Convert to fraction form
    792,103.50/1,682,376 = 1,682,376/x
  3. Step 3: Cross multiply
    792,103.50x = 1,682,376 × 1,682,376
  4. Step 4: Simplify right side
    792,103.50x = 2,830,389,005,376
  5. Step 5: Solve for x
    x = 2,830,389,005,376/792,103.50
  6. Step 6: Final answer
    x = 3,573,256.53

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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.