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Finding the Third Proportional to 755,544 and 1,644,009

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Solution

The third proportional to 755,544 and 1,644,009 is: 3,577,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,544 : 1,644,009 = 1,644,009 : x
  2. Step 2: Convert to fraction form
    755,544/1,644,009 = 1,644,009/x
  3. Step 3: Cross multiply
    755,544x = 1,644,009 × 1,644,009
  4. Step 4: Simplify right side
    755,544x = 2,702,765,592,081
  5. Step 5: Solve for x
    x = 2,702,765,592,081/755,544
  6. Step 6: Final answer
    x = 3,577,244.47

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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.