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Finding the Third Proportional to 543,616 and 799,446

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Solution

The third proportional to 543,616 and 799,446 is: 1,175,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,616 : 799,446 = 799,446 : x
  2. Step 2: Convert to fraction form
    543,616/799,446 = 799,446/x
  3. Step 3: Cross multiply
    543,616x = 799,446 × 799,446
  4. Step 4: Simplify right side
    543,616x = 639,113,906,916
  5. Step 5: Solve for x
    x = 639,113,906,916/543,616
  6. Step 6: Final answer
    x = 1,175,671.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.