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Finding the Third Proportional to 543,868 and 1,174,215

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Solution

The third proportional to 543,868 and 1,174,215 is: 2,535,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,868 : 1,174,215 = 1,174,215 : x
  2. Step 2: Convert to fraction form
    543,868/1,174,215 = 1,174,215/x
  3. Step 3: Cross multiply
    543,868x = 1,174,215 × 1,174,215
  4. Step 4: Simplify right side
    543,868x = 1,378,780,866,225
  5. Step 5: Solve for x
    x = 1,378,780,866,225/543,868
  6. Step 6: Final answer
    x = 2,535,138.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.