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Finding the Third Proportional to 1,159,998.47 and 2,548,504.27

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Solution

The third proportional to 1,159,998.47 and 2,548,504.27 is: 5,599,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,998.47 : 2,548,504.27 = 2,548,504.27 : x
  2. Step 2: Convert to fraction form
    1,159,998.47/2,548,504.27 = 2,548,504.27/x
  3. Step 3: Cross multiply
    1,159,998.47x = 2,548,504.27 × 2,548,504.27
  4. Step 4: Simplify right side
    1,159,998.47x = 6,494,873,991,908.82
  5. Step 5: Solve for x
    x = 6,494,873,991,908.82/1,159,998.47
  6. Step 6: Final answer
    x = 5,599,036.69

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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.