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Finding the Third Proportional to 825,474 and 1,234,416

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Solution

The third proportional to 825,474 and 1,234,416 is: 1,845,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,474 : 1,234,416 = 1,234,416 : x
  2. Step 2: Convert to fraction form
    825,474/1,234,416 = 1,234,416/x
  3. Step 3: Cross multiply
    825,474x = 1,234,416 × 1,234,416
  4. Step 4: Simplify right side
    825,474x = 1,523,782,861,056
  5. Step 5: Solve for x
    x = 1,523,782,861,056/825,474
  6. Step 6: Final answer
    x = 1,845,948.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.