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Finding the Third Proportional to 1,644,911 and 3,668,029

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Solution

The third proportional to 1,644,911 and 3,668,029 is: 8,179,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,911 : 3,668,029 = 3,668,029 : x
  2. Step 2: Convert to fraction form
    1,644,911/3,668,029 = 3,668,029/x
  3. Step 3: Cross multiply
    1,644,911x = 3,668,029 × 3,668,029
  4. Step 4: Simplify right side
    1,644,911x = 13,454,436,744,841
  5. Step 5: Solve for x
    x = 13,454,436,744,841/1,644,911
  6. Step 6: Final answer
    x = 8,179,431.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.