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Finding the Third Proportional to 537,415.50 and 1,173,075

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Solution

The third proportional to 537,415.50 and 1,173,075 is: 2,560,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,415.50 : 1,173,075 = 1,173,075 : x
  2. Step 2: Convert to fraction form
    537,415.50/1,173,075 = 1,173,075/x
  3. Step 3: Cross multiply
    537,415.50x = 1,173,075 × 1,173,075
  4. Step 4: Simplify right side
    537,415.50x = 1,376,104,955,625
  5. Step 5: Solve for x
    x = 1,376,104,955,625/537,415.50
  6. Step 6: Final answer
    x = 2,560,597.82

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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.