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Finding the Third Proportional to 701,625 and 1,541,340

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Solution

The third proportional to 701,625 and 1,541,340 is: 3,386,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,625 : 1,541,340 = 1,541,340 : x
  2. Step 2: Convert to fraction form
    701,625/1,541,340 = 1,541,340/x
  3. Step 3: Cross multiply
    701,625x = 1,541,340 × 1,541,340
  4. Step 4: Simplify right side
    701,625x = 2,375,728,995,600
  5. Step 5: Solve for x
    x = 2,375,728,995,600/701,625
  6. Step 6: Final answer
    x = 3,386,038.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.