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Finding the Third Proportional to 1,581,661.69 and 2,394,678.94

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Solution

The third proportional to 1,581,661.69 and 2,394,678.94 is: 3,625,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,661.69 : 2,394,678.94 = 2,394,678.94 : x
  2. Step 2: Convert to fraction form
    1,581,661.69/2,394,678.94 = 2,394,678.94/x
  3. Step 3: Cross multiply
    1,581,661.69x = 2,394,678.94 × 2,394,678.94
  4. Step 4: Simplify right side
    1,581,661.69x = 5,734,487,213,706.13
  5. Step 5: Solve for x
    x = 5,734,487,213,706.13/1,581,661.69
  6. Step 6: Final answer
    x = 3,625,609.23

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