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Finding the Third Proportional to 755,548 and 1,644,016

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Solution

The third proportional to 755,548 and 1,644,016 is: 3,577,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,548 : 1,644,016 = 1,644,016 : x
  2. Step 2: Convert to fraction form
    755,548/1,644,016 = 1,644,016/x
  3. Step 3: Cross multiply
    755,548x = 1,644,016 × 1,644,016
  4. Step 4: Simplify right side
    755,548x = 2,702,788,608,256
  5. Step 5: Solve for x
    x = 2,702,788,608,256/755,548
  6. Step 6: Final answer
    x = 3,577,255.99

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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.