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Finding the Third Proportional to 815,800 and 1,767,176

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Solution

The third proportional to 815,800 and 1,767,176 is: 3,828,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,800 : 1,767,176 = 1,767,176 : x
  2. Step 2: Convert to fraction form
    815,800/1,767,176 = 1,767,176/x
  3. Step 3: Cross multiply
    815,800x = 1,767,176 × 1,767,176
  4. Step 4: Simplify right side
    815,800x = 3,122,911,014,976
  5. Step 5: Solve for x
    x = 3,122,911,014,976/815,800
  6. Step 6: Final answer
    x = 3,828,035.08

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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.