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Finding the Third Proportional to 1,004,142.09 and 2,207,548.97

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Solution

The third proportional to 1,004,142.09 and 2,207,548.97 is: 4,853,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,142.09 : 2,207,548.97 = 2,207,548.97 : x
  2. Step 2: Convert to fraction form
    1,004,142.09/2,207,548.97 = 2,207,548.97/x
  3. Step 3: Cross multiply
    1,004,142.09x = 2,207,548.97 × 2,207,548.97
  4. Step 4: Simplify right side
    1,004,142.09x = 4,873,272,449,429.19
  5. Step 5: Solve for x
    x = 4,873,272,449,429.19/1,004,142.09
  6. Step 6: Final answer
    x = 4,853,170.16

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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.