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Finding the Third Proportional to 1,682,858 and 3,670,312

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Solution

The third proportional to 1,682,858 and 3,670,312 is: 8,004,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,858 : 3,670,312 = 3,670,312 : x
  2. Step 2: Convert to fraction form
    1,682,858/3,670,312 = 3,670,312/x
  3. Step 3: Cross multiply
    1,682,858x = 3,670,312 × 3,670,312
  4. Step 4: Simplify right side
    1,682,858x = 13,471,190,177,344
  5. Step 5: Solve for x
    x = 13,471,190,177,344/1,682,858
  6. Step 6: Final answer
    x = 8,004,947.64

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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.