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Finding the Third Proportional to 548,324 and 1,202,573

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Solution

The third proportional to 548,324 and 1,202,573 is: 2,637,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,324 : 1,202,573 = 1,202,573 : x
  2. Step 2: Convert to fraction form
    548,324/1,202,573 = 1,202,573/x
  3. Step 3: Cross multiply
    548,324x = 1,202,573 × 1,202,573
  4. Step 4: Simplify right side
    548,324x = 1,446,181,820,329
  5. Step 5: Solve for x
    x = 1,446,181,820,329/548,324
  6. Step 6: Final answer
    x = 2,637,458.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.