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Finding the Third Proportional to 740,133 and 1,538,441.25

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Solution

The third proportional to 740,133 and 1,538,441.25 is: 3,197,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,133 : 1,538,441.25 = 1,538,441.25 : x
  2. Step 2: Convert to fraction form
    740,133/1,538,441.25 = 1,538,441.25/x
  3. Step 3: Cross multiply
    740,133x = 1,538,441.25 × 1,538,441.25
  4. Step 4: Simplify right side
    740,133x = 2,366,801,479,701.56
  5. Step 5: Solve for x
    x = 2,366,801,479,701.56/740,133
  6. Step 6: Final answer
    x = 3,197,805.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.