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Finding the Third Proportional to 541,419.19 and 1,178,382.94

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Solution

The third proportional to 541,419.19 and 1,178,382.94 is: 2,564,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,419.19 : 1,178,382.94 = 1,178,382.94 : x
  2. Step 2: Convert to fraction form
    541,419.19/1,178,382.94 = 1,178,382.94/x
  3. Step 3: Cross multiply
    541,419.19x = 1,178,382.94 × 1,178,382.94
  4. Step 4: Simplify right side
    541,419.19x = 1,388,586,347,391.13
  5. Step 5: Solve for x
    x = 1,388,586,347,391.13/541,419.19
  6. Step 6: Final answer
    x = 2,564,715.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.