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Finding the Third Proportional to 541,967.63 and 1,180,450.13

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Solution

The third proportional to 541,967.63 and 1,180,450.13 is: 2,571,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,967.63 : 1,180,450.13 = 1,180,450.13 : x
  2. Step 2: Convert to fraction form
    541,967.63/1,180,450.13 = 1,180,450.13/x
  3. Step 3: Cross multiply
    541,967.63x = 1,180,450.13 × 1,180,450.13
  4. Step 4: Simplify right side
    541,967.63x = 1,393,462,497,612.52
  5. Step 5: Solve for x
    x = 1,393,462,497,612.52/541,967.63
  6. Step 6: Final answer
    x = 2,571,117.60

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