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Finding the Third Proportional to 727,110 and 1,521,036

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Solution

The third proportional to 727,110 and 1,521,036 is: 3,181,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,110 : 1,521,036 = 1,521,036 : x
  2. Step 2: Convert to fraction form
    727,110/1,521,036 = 1,521,036/x
  3. Step 3: Cross multiply
    727,110x = 1,521,036 × 1,521,036
  4. Step 4: Simplify right side
    727,110x = 2,313,550,513,296
  5. Step 5: Solve for x
    x = 2,313,550,513,296/727,110
  6. Step 6: Final answer
    x = 3,181,843.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.