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Finding the Third Proportional to 547,500 and 1,170,660

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Solution

The third proportional to 547,500 and 1,170,660 is: 2,503,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,500 : 1,170,660 = 1,170,660 : x
  2. Step 2: Convert to fraction form
    547,500/1,170,660 = 1,170,660/x
  3. Step 3: Cross multiply
    547,500x = 1,170,660 × 1,170,660
  4. Step 4: Simplify right side
    547,500x = 1,370,444,835,600
  5. Step 5: Solve for x
    x = 1,370,444,835,600/547,500
  6. Step 6: Final answer
    x = 2,503,095.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.