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Finding the Third Proportional to 541,891.69 and 843,852.94

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Solution

The third proportional to 541,891.69 and 843,852.94 is: 1,314,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,891.69 : 843,852.94 = 843,852.94 : x
  2. Step 2: Convert to fraction form
    541,891.69/843,852.94 = 843,852.94/x
  3. Step 3: Cross multiply
    541,891.69x = 843,852.94 × 843,852.94
  4. Step 4: Simplify right side
    541,891.69x = 712,087,780,127.38
  5. Step 5: Solve for x
    x = 712,087,780,127.38/541,891.69
  6. Step 6: Final answer
    x = 1,314,077.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.