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Finding the Third Proportional to 792,216 and 1,729,590

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Solution

The third proportional to 792,216 and 1,729,590 is: 3,776,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,216 : 1,729,590 = 1,729,590 : x
  2. Step 2: Convert to fraction form
    792,216/1,729,590 = 1,729,590/x
  3. Step 3: Cross multiply
    792,216x = 1,729,590 × 1,729,590
  4. Step 4: Simplify right side
    792,216x = 2,991,481,568,100
  5. Step 5: Solve for x
    x = 2,991,481,568,100/792,216
  6. Step 6: Final answer
    x = 3,776,093.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.