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Finding the Third Proportional to 1,659,127.50 and 2,523,327

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Solution

The third proportional to 1,659,127.50 and 2,523,327 is: 3,837,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,127.50 : 2,523,327 = 2,523,327 : x
  2. Step 2: Convert to fraction form
    1,659,127.50/2,523,327 = 2,523,327/x
  3. Step 3: Cross multiply
    1,659,127.50x = 2,523,327 × 2,523,327
  4. Step 4: Simplify right side
    1,659,127.50x = 6,367,179,148,929
  5. Step 5: Solve for x
    x = 6,367,179,148,929/1,659,127.50
  6. Step 6: Final answer
    x = 3,837,667.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.