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Finding the Third Proportional to 659,016 and 1,427,928.75

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Solution

The third proportional to 659,016 and 1,427,928.75 is: 3,093,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,016 : 1,427,928.75 = 1,427,928.75 : x
  2. Step 2: Convert to fraction form
    659,016/1,427,928.75 = 1,427,928.75/x
  3. Step 3: Cross multiply
    659,016x = 1,427,928.75 × 1,427,928.75
  4. Step 4: Simplify right side
    659,016x = 2,038,980,515,076.56
  5. Step 5: Solve for x
    x = 2,038,980,515,076.56/659,016
  6. Step 6: Final answer
    x = 3,093,977.26

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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.