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Finding the Third Proportional to 547,620 and 1,198,473

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Solution

The third proportional to 547,620 and 1,198,473 is: 2,622,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,620 : 1,198,473 = 1,198,473 : x
  2. Step 2: Convert to fraction form
    547,620/1,198,473 = 1,198,473/x
  3. Step 3: Cross multiply
    547,620x = 1,198,473 × 1,198,473
  4. Step 4: Simplify right side
    547,620x = 1,436,337,531,729
  5. Step 5: Solve for x
    x = 1,436,337,531,729/547,620
  6. Step 6: Final answer
    x = 2,622,872.67

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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.