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Finding the Third Proportional to 588,647 and 911,267

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Solution

The third proportional to 588,647 and 911,267 is: 1,410,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,647 : 911,267 = 911,267 : x
  2. Step 2: Convert to fraction form
    588,647/911,267 = 911,267/x
  3. Step 3: Cross multiply
    588,647x = 911,267 × 911,267
  4. Step 4: Simplify right side
    588,647x = 830,407,545,289
  5. Step 5: Solve for x
    x = 830,407,545,289/588,647
  6. Step 6: Final answer
    x = 1,410,705.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.