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Finding the Third Proportional to 547,639 and 1,198,507

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Solution

The third proportional to 547,639 and 1,198,507 is: 2,622,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,639 : 1,198,507 = 1,198,507 : x
  2. Step 2: Convert to fraction form
    547,639/1,198,507 = 1,198,507/x
  3. Step 3: Cross multiply
    547,639x = 1,198,507 × 1,198,507
  4. Step 4: Simplify right side
    547,639x = 1,436,419,029,049
  5. Step 5: Solve for x
    x = 1,436,419,029,049/547,639
  6. Step 6: Final answer
    x = 2,622,930.49

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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.