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Finding the Third Proportional to 4,193,372.25 and 5,738,292

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Solution

The third proportional to 4,193,372.25 and 5,738,292 is: 7,852,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,372.25 : 5,738,292 = 5,738,292 : x
  2. Step 2: Convert to fraction form
    4,193,372.25/5,738,292 = 5,738,292/x
  3. Step 3: Cross multiply
    4,193,372.25x = 5,738,292 × 5,738,292
  4. Step 4: Simplify right side
    4,193,372.25x = 32,927,995,077,264
  5. Step 5: Solve for x
    x = 32,927,995,077,264/4,193,372.25
  6. Step 6: Final answer
    x = 7,852,390.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.