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Finding the Third Proportional to 1,644,897 and 3,668,003

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Solution

The third proportional to 1,644,897 and 3,668,003 is: 8,179,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,897 : 3,668,003 = 3,668,003 : x
  2. Step 2: Convert to fraction form
    1,644,897/3,668,003 = 3,668,003/x
  3. Step 3: Cross multiply
    1,644,897x = 3,668,003 × 3,668,003
  4. Step 4: Simplify right side
    1,644,897x = 13,454,246,008,009
  5. Step 5: Solve for x
    x = 13,454,246,008,009/1,644,897
  6. Step 6: Final answer
    x = 8,179,385.10

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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.