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Finding the Third Proportional to 547,612 and 1,198,457

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Solution

The third proportional to 547,612 and 1,198,457 is: 2,622,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,612 : 1,198,457 = 1,198,457 : x
  2. Step 2: Convert to fraction form
    547,612/1,198,457 = 1,198,457/x
  3. Step 3: Cross multiply
    547,612x = 1,198,457 × 1,198,457
  4. Step 4: Simplify right side
    547,612x = 1,436,299,180,849
  5. Step 5: Solve for x
    x = 1,436,299,180,849/547,612
  6. Step 6: Final answer
    x = 2,622,840.95

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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.