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Finding the Third Proportional to 792,180 and 1,649,640

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Solution

The third proportional to 792,180 and 1,649,640 is: 3,435,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,180 : 1,649,640 = 1,649,640 : x
  2. Step 2: Convert to fraction form
    792,180/1,649,640 = 1,649,640/x
  3. Step 3: Cross multiply
    792,180x = 1,649,640 × 1,649,640
  4. Step 4: Simplify right side
    792,180x = 2,721,312,129,600
  5. Step 5: Solve for x
    x = 2,721,312,129,600/792,180
  6. Step 6: Final answer
    x = 3,435,219.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.