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Finding the Third Proportional to 543,433 and 1,278,676

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Solution

The third proportional to 543,433 and 1,278,676 is: 3,008,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,433 : 1,278,676 = 1,278,676 : x
  2. Step 2: Convert to fraction form
    543,433/1,278,676 = 1,278,676/x
  3. Step 3: Cross multiply
    543,433x = 1,278,676 × 1,278,676
  4. Step 4: Simplify right side
    543,433x = 1,635,012,312,976
  5. Step 5: Solve for x
    x = 1,635,012,312,976/543,433
  6. Step 6: Final answer
    x = 3,008,673.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.