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Finding the Third Proportional to 2,531,298 and 5,543,412

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Solution

The third proportional to 2,531,298 and 5,543,412 is: 12,139,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,298 : 5,543,412 = 5,543,412 : x
  2. Step 2: Convert to fraction form
    2,531,298/5,543,412 = 5,543,412/x
  3. Step 3: Cross multiply
    2,531,298x = 5,543,412 × 5,543,412
  4. Step 4: Simplify right side
    2,531,298x = 30,729,416,601,744
  5. Step 5: Solve for x
    x = 30,729,416,601,744/2,531,298
  6. Step 6: Final answer
    x = 12,139,786.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.