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Finding the Third Proportional to 796,354 and 1,725,538

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Solution

The third proportional to 796,354 and 1,725,538 is: 3,738,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,354 : 1,725,538 = 1,725,538 : x
  2. Step 2: Convert to fraction form
    796,354/1,725,538 = 1,725,538/x
  3. Step 3: Cross multiply
    796,354x = 1,725,538 × 1,725,538
  4. Step 4: Simplify right side
    796,354x = 2,977,481,389,444
  5. Step 5: Solve for x
    x = 2,977,481,389,444/796,354
  6. Step 6: Final answer
    x = 3,738,891.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.