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Finding the Third Proportional to 727,914.94 and 1,581,580.69

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Solution

The third proportional to 727,914.94 and 1,581,580.69 is: 3,436,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,914.94 : 1,581,580.69 = 1,581,580.69 : x
  2. Step 2: Convert to fraction form
    727,914.94/1,581,580.69 = 1,581,580.69/x
  3. Step 3: Cross multiply
    727,914.94x = 1,581,580.69 × 1,581,580.69
  4. Step 4: Simplify right side
    727,914.94x = 2,501,397,471,072.97
  5. Step 5: Solve for x
    x = 2,501,397,471,072.97/727,914.94
  6. Step 6: Final answer
    x = 3,436,387.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.