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Finding the Third Proportional to 1,682,873 and 3,670,341

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Solution

The third proportional to 1,682,873 and 3,670,341 is: 8,005,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,873 : 3,670,341 = 3,670,341 : x
  2. Step 2: Convert to fraction form
    1,682,873/3,670,341 = 3,670,341/x
  3. Step 3: Cross multiply
    1,682,873x = 3,670,341 × 3,670,341
  4. Step 4: Simplify right side
    1,682,873x = 13,471,403,056,281
  5. Step 5: Solve for x
    x = 13,471,403,056,281/1,682,873
  6. Step 6: Final answer
    x = 8,005,002.79

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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.