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Finding the Third Proportional to 787,224 and 1,253,238

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Solution

The third proportional to 787,224 and 1,253,238 is: 1,995,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,224 : 1,253,238 = 1,253,238 : x
  2. Step 2: Convert to fraction form
    787,224/1,253,238 = 1,253,238/x
  3. Step 3: Cross multiply
    787,224x = 1,253,238 × 1,253,238
  4. Step 4: Simplify right side
    787,224x = 1,570,605,484,644
  5. Step 5: Solve for x
    x = 1,570,605,484,644/787,224
  6. Step 6: Final answer
    x = 1,995,118.90

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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.