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Finding the Third Proportional to 744,073.50 and 1,614,993

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Solution

The third proportional to 744,073.50 and 1,614,993 is: 3,505,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,073.50 : 1,614,993 = 1,614,993 : x
  2. Step 2: Convert to fraction form
    744,073.50/1,614,993 = 1,614,993/x
  3. Step 3: Cross multiply
    744,073.50x = 1,614,993 × 1,614,993
  4. Step 4: Simplify right side
    744,073.50x = 2,608,202,390,049
  5. Step 5: Solve for x
    x = 2,608,202,390,049/744,073.50
  6. Step 6: Final answer
    x = 3,505,302.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.