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Finding the Third Proportional to 601,971.75 and 936,172.69

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Solution

The third proportional to 601,971.75 and 936,172.69 is: 1,455,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,971.75 : 936,172.69 = 936,172.69 : x
  2. Step 2: Convert to fraction form
    601,971.75/936,172.69 = 936,172.69/x
  3. Step 3: Cross multiply
    601,971.75x = 936,172.69 × 936,172.69
  4. Step 4: Simplify right side
    601,971.75x = 876,419,300,820.97
  5. Step 5: Solve for x
    x = 876,419,300,820.97/601,971.75
  6. Step 6: Final answer
    x = 1,455,914.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.