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Finding the Third Proportional to 621,738 and 933,147

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Solution

The third proportional to 621,738 and 933,147 is: 1,400,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 933,147 = 933,147 : x
  2. Step 2: Convert to fraction form
    621,738/933,147 = 933,147/x
  3. Step 3: Cross multiply
    621,738x = 933,147 × 933,147
  4. Step 4: Simplify right side
    621,738x = 870,763,323,609
  5. Step 5: Solve for x
    x = 870,763,323,609/621,738
  6. Step 6: Final answer
    x = 1,400,530.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.