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Finding the Third Proportional to 395,946 and 933,696

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Solution

The third proportional to 395,946 and 933,696 is: 2,201,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,946 : 933,696 = 933,696 : x
  2. Step 2: Convert to fraction form
    395,946/933,696 = 933,696/x
  3. Step 3: Cross multiply
    395,946x = 933,696 × 933,696
  4. Step 4: Simplify right side
    395,946x = 871,788,220,416
  5. Step 5: Solve for x
    x = 871,788,220,416/395,946
  6. Step 6: Final answer
    x = 2,201,785.65

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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.