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Finding the Third Proportional to 543,412.13 and 1,194,392.25

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Solution

The third proportional to 543,412.13 and 1,194,392.25 is: 2,625,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,412.13 : 1,194,392.25 = 1,194,392.25 : x
  2. Step 2: Convert to fraction form
    543,412.13/1,194,392.25 = 1,194,392.25/x
  3. Step 3: Cross multiply
    543,412.13x = 1,194,392.25 × 1,194,392.25
  4. Step 4: Simplify right side
    543,412.13x = 1,426,572,846,860.06
  5. Step 5: Solve for x
    x = 1,426,572,846,860.06/543,412.13
  6. Step 6: Final answer
    x = 2,625,213.50

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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.