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Finding the Third Proportional to 1,209,859 and 1,644,100

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Solution

The third proportional to 1,209,859 and 1,644,100 is: 2,234,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,859 : 1,644,100 = 1,644,100 : x
  2. Step 2: Convert to fraction form
    1,209,859/1,644,100 = 1,644,100/x
  3. Step 3: Cross multiply
    1,209,859x = 1,644,100 × 1,644,100
  4. Step 4: Simplify right side
    1,209,859x = 2,703,064,810,000
  5. Step 5: Solve for x
    x = 2,703,064,810,000/1,209,859
  6. Step 6: Final answer
    x = 2,234,198.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.