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Finding the Third Proportional to 787,224 and 1,253,236

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Solution

The third proportional to 787,224 and 1,253,236 is: 1,995,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,224 : 1,253,236 = 1,253,236 : x
  2. Step 2: Convert to fraction form
    787,224/1,253,236 = 1,253,236/x
  3. Step 3: Cross multiply
    787,224x = 1,253,236 × 1,253,236
  4. Step 4: Simplify right side
    787,224x = 1,570,600,471,696
  5. Step 5: Solve for x
    x = 1,570,600,471,696/787,224
  6. Step 6: Final answer
    x = 1,995,112.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.