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Finding the Third Proportional to 3,149,122.50 and 4,722,862.50

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Solution

The third proportional to 3,149,122.50 and 4,722,862.50 is: 7,083,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,122.50 : 4,722,862.50 = 4,722,862.50 : x
  2. Step 2: Convert to fraction form
    3,149,122.50/4,722,862.50 = 4,722,862.50/x
  3. Step 3: Cross multiply
    3,149,122.50x = 4,722,862.50 × 4,722,862.50
  4. Step 4: Simplify right side
    3,149,122.50x = 22,305,430,193,906.25
  5. Step 5: Solve for x
    x = 22,305,430,193,906.25/3,149,122.50
  6. Step 6: Final answer
    x = 7,083,062.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.