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Finding the Third Proportional to 935,214 and 2,010,285

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Solution

The third proportional to 935,214 and 2,010,285 is: 4,321,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,214 : 2,010,285 = 2,010,285 : x
  2. Step 2: Convert to fraction form
    935,214/2,010,285 = 2,010,285/x
  3. Step 3: Cross multiply
    935,214x = 2,010,285 × 2,010,285
  4. Step 4: Simplify right side
    935,214x = 4,041,245,781,225
  5. Step 5: Solve for x
    x = 4,041,245,781,225/935,214
  6. Step 6: Final answer
    x = 4,321,198.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.