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Finding the Third Proportional to 1,289,185.03 and 2,732,046.47

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Solution

The third proportional to 1,289,185.03 and 2,732,046.47 is: 5,789,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,185.03 : 2,732,046.47 = 2,732,046.47 : x
  2. Step 2: Convert to fraction form
    1,289,185.03/2,732,046.47 = 2,732,046.47/x
  3. Step 3: Cross multiply
    1,289,185.03x = 2,732,046.47 × 2,732,046.47
  4. Step 4: Simplify right side
    1,289,185.03x = 7,464,077,907,409.35
  5. Step 5: Solve for x
    x = 7,464,077,907,409.35/1,289,185.03
  6. Step 6: Final answer
    x = 5,789,764.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.