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Finding the Third Proportional to 395,032 and 931,946

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Solution

The third proportional to 395,032 and 931,946 is: 2,198,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,032 : 931,946 = 931,946 : x
  2. Step 2: Convert to fraction form
    395,032/931,946 = 931,946/x
  3. Step 3: Cross multiply
    395,032x = 931,946 × 931,946
  4. Step 4: Simplify right side
    395,032x = 868,523,346,916
  5. Step 5: Solve for x
    x = 868,523,346,916/395,032
  6. Step 6: Final answer
    x = 2,198,615.17

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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.