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Finding the Third Proportional to 645,828 and 995,993

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Solution

The third proportional to 645,828 and 995,993 is: 1,536,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,828 : 995,993 = 995,993 : x
  2. Step 2: Convert to fraction form
    645,828/995,993 = 995,993/x
  3. Step 3: Cross multiply
    645,828x = 995,993 × 995,993
  4. Step 4: Simplify right side
    645,828x = 992,002,056,049
  5. Step 5: Solve for x
    x = 992,002,056,049/645,828
  6. Step 6: Final answer
    x = 1,536,015.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.