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Finding the Third Proportional to 519,680 and 1,138,666

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Solution

The third proportional to 519,680 and 1,138,666 is: 2,494,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,680 : 1,138,666 = 1,138,666 : x
  2. Step 2: Convert to fraction form
    519,680/1,138,666 = 1,138,666/x
  3. Step 3: Cross multiply
    519,680x = 1,138,666 × 1,138,666
  4. Step 4: Simplify right side
    519,680x = 1,296,560,259,556
  5. Step 5: Solve for x
    x = 1,296,560,259,556/519,680
  6. Step 6: Final answer
    x = 2,494,920.45

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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.