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Finding the Third Proportional to 486,692 and 1,048,267

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Solution

The third proportional to 486,692 and 1,048,267 is: 2,257,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,692 : 1,048,267 = 1,048,267 : x
  2. Step 2: Convert to fraction form
    486,692/1,048,267 = 1,048,267/x
  3. Step 3: Cross multiply
    486,692x = 1,048,267 × 1,048,267
  4. Step 4: Simplify right side
    486,692x = 1,098,863,703,289
  5. Step 5: Solve for x
    x = 1,098,863,703,289/486,692
  6. Step 6: Final answer
    x = 2,257,821.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.