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Finding the Third Proportional to 2,001,727.69 and 4,365,694.97

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Solution

The third proportional to 2,001,727.69 and 4,365,694.97 is: 9,521,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,727.69 : 4,365,694.97 = 4,365,694.97 : x
  2. Step 2: Convert to fraction form
    2,001,727.69/4,365,694.97 = 4,365,694.97/x
  3. Step 3: Cross multiply
    2,001,727.69x = 4,365,694.97 × 4,365,694.97
  4. Step 4: Simplify right side
    2,001,727.69x = 19,059,292,560,169.06
  5. Step 5: Solve for x
    x = 19,059,292,560,169.06/2,001,727.69
  6. Step 6: Final answer
    x = 9,521,421.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.