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Finding the Third Proportional to 492,634 and 1,061,236

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Solution

The third proportional to 492,634 and 1,061,236 is: 2,286,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,634 : 1,061,236 = 1,061,236 : x
  2. Step 2: Convert to fraction form
    492,634/1,061,236 = 1,061,236/x
  3. Step 3: Cross multiply
    492,634x = 1,061,236 × 1,061,236
  4. Step 4: Simplify right side
    492,634x = 1,126,221,847,696
  5. Step 5: Solve for x
    x = 1,126,221,847,696/492,634
  6. Step 6: Final answer
    x = 2,286,122.86

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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.