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Finding the Third Proportional to 787,241 and 1,253,265

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Solution

The third proportional to 787,241 and 1,253,265 is: 1,995,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,241 : 1,253,265 = 1,253,265 : x
  2. Step 2: Convert to fraction form
    787,241/1,253,265 = 1,253,265/x
  3. Step 3: Cross multiply
    787,241x = 1,253,265 × 1,253,265
  4. Step 4: Simplify right side
    787,241x = 1,570,673,160,225
  5. Step 5: Solve for x
    x = 1,570,673,160,225/787,241
  6. Step 6: Final answer
    x = 1,995,161.79

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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.