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Finding the Third Proportional to 543,420 and 1,194,407

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Solution

The third proportional to 543,420 and 1,194,407 is: 2,625,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,420 : 1,194,407 = 1,194,407 : x
  2. Step 2: Convert to fraction form
    543,420/1,194,407 = 1,194,407/x
  3. Step 3: Cross multiply
    543,420x = 1,194,407 × 1,194,407
  4. Step 4: Simplify right side
    543,420x = 1,426,608,081,649
  5. Step 5: Solve for x
    x = 1,426,608,081,649/543,420
  6. Step 6: Final answer
    x = 2,625,240.30

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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.