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Finding the Third Proportional to 787,222 and 1,253,235

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Solution

The third proportional to 787,222 and 1,253,235 is: 1,995,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,222 : 1,253,235 = 1,253,235 : x
  2. Step 2: Convert to fraction form
    787,222/1,253,235 = 1,253,235/x
  3. Step 3: Cross multiply
    787,222x = 1,253,235 × 1,253,235
  4. Step 4: Simplify right side
    787,222x = 1,570,597,965,225
  5. Step 5: Solve for x
    x = 1,570,597,965,225/787,222
  6. Step 6: Final answer
    x = 1,995,114.42

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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.