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Finding the Third Proportional to 395,029 and 931,940

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Solution

The third proportional to 395,029 and 931,940 is: 2,198,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,029 : 931,940 = 931,940 : x
  2. Step 2: Convert to fraction form
    395,029/931,940 = 931,940/x
  3. Step 3: Cross multiply
    395,029x = 931,940 × 931,940
  4. Step 4: Simplify right side
    395,029x = 868,512,163,600
  5. Step 5: Solve for x
    x = 868,512,163,600/395,029
  6. Step 6: Final answer
    x = 2,198,603.55

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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.