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Finding the Third Proportional to 395,034 and 931,951

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Solution

The third proportional to 395,034 and 931,951 is: 2,198,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,034 : 931,951 = 931,951 : x
  2. Step 2: Convert to fraction form
    395,034/931,951 = 931,951/x
  3. Step 3: Cross multiply
    395,034x = 931,951 × 931,951
  4. Step 4: Simplify right side
    395,034x = 868,532,666,401
  5. Step 5: Solve for x
    x = 868,532,666,401/395,034
  6. Step 6: Final answer
    x = 2,198,627.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.