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Finding the Third Proportional to 1,206,908.86 and 1,822,663.27

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Solution

The third proportional to 1,206,908.86 and 1,822,663.27 is: 2,752,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,908.86 : 1,822,663.27 = 1,822,663.27 : x
  2. Step 2: Convert to fraction form
    1,206,908.86/1,822,663.27 = 1,822,663.27/x
  3. Step 3: Cross multiply
    1,206,908.86x = 1,822,663.27 × 1,822,663.27
  4. Step 4: Simplify right side
    1,206,908.86x = 3,322,101,379,858.79
  5. Step 5: Solve for x
    x = 3,322,101,379,858.79/1,206,908.86
  6. Step 6: Final answer
    x = 2,752,570.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.