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Finding the Third Proportional to 543,871.50 and 1,152,576

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Solution

The third proportional to 543,871.50 and 1,152,576 is: 2,442,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,871.50 : 1,152,576 = 1,152,576 : x
  2. Step 2: Convert to fraction form
    543,871.50/1,152,576 = 1,152,576/x
  3. Step 3: Cross multiply
    543,871.50x = 1,152,576 × 1,152,576
  4. Step 4: Simplify right side
    543,871.50x = 1,328,431,435,776
  5. Step 5: Solve for x
    x = 1,328,431,435,776/543,871.50
  6. Step 6: Final answer
    x = 2,442,546.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.