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Finding the Third Proportional to 982,590 and 2,138,175

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Solution

The third proportional to 982,590 and 2,138,175 is: 4,652,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,590 : 2,138,175 = 2,138,175 : x
  2. Step 2: Convert to fraction form
    982,590/2,138,175 = 2,138,175/x
  3. Step 3: Cross multiply
    982,590x = 2,138,175 × 2,138,175
  4. Step 4: Simplify right side
    982,590x = 4,571,792,330,625
  5. Step 5: Solve for x
    x = 4,571,792,330,625/982,590
  6. Step 6: Final answer
    x = 4,652,797.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.