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Finding the Third Proportional to 787,242 and 1,253,267

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Solution

The third proportional to 787,242 and 1,253,267 is: 1,995,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,242 : 1,253,267 = 1,253,267 : x
  2. Step 2: Convert to fraction form
    787,242/1,253,267 = 1,253,267/x
  3. Step 3: Cross multiply
    787,242x = 1,253,267 × 1,253,267
  4. Step 4: Simplify right side
    787,242x = 1,570,678,173,289
  5. Step 5: Solve for x
    x = 1,570,678,173,289/787,242
  6. Step 6: Final answer
    x = 1,995,165.62

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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.