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Finding the Third Proportional to 1,618,467 and 3,284,778

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Solution

The third proportional to 1,618,467 and 3,284,778 is: 6,666,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,467 : 3,284,778 = 3,284,778 : x
  2. Step 2: Convert to fraction form
    1,618,467/3,284,778 = 3,284,778/x
  3. Step 3: Cross multiply
    1,618,467x = 3,284,778 × 3,284,778
  4. Step 4: Simplify right side
    1,618,467x = 10,789,766,509,284
  5. Step 5: Solve for x
    x = 10,789,766,509,284/1,618,467
  6. Step 6: Final answer
    x = 6,666,658.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.