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Finding the Third Proportional to 835,479 and 1,766,202

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Solution

The third proportional to 835,479 and 1,766,202 is: 3,733,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,479 : 1,766,202 = 1,766,202 : x
  2. Step 2: Convert to fraction form
    835,479/1,766,202 = 1,766,202/x
  3. Step 3: Cross multiply
    835,479x = 1,766,202 × 1,766,202
  4. Step 4: Simplify right side
    835,479x = 3,119,469,504,804
  5. Step 5: Solve for x
    x = 3,119,469,504,804/835,479
  6. Step 6: Final answer
    x = 3,733,749.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.