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Finding the Third Proportional to 537,591.94 and 1,172,983.78

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Solution

The third proportional to 537,591.94 and 1,172,983.78 is: 2,559,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,591.94 : 1,172,983.78 = 1,172,983.78 : x
  2. Step 2: Convert to fraction form
    537,591.94/1,172,983.78 = 1,172,983.78/x
  3. Step 3: Cross multiply
    537,591.94x = 1,172,983.78 × 1,172,983.78
  4. Step 4: Simplify right side
    537,591.94x = 1,375,890,951,075.55
  5. Step 5: Solve for x
    x = 1,375,890,951,075.55/537,591.94
  6. Step 6: Final answer
    x = 2,559,359.35

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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.