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Finding the Third Proportional to 534,940 and 1,114,713

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Solution

The third proportional to 534,940 and 1,114,713 is: 2,322,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,940 : 1,114,713 = 1,114,713 : x
  2. Step 2: Convert to fraction form
    534,940/1,114,713 = 1,114,713/x
  3. Step 3: Cross multiply
    534,940x = 1,114,713 × 1,114,713
  4. Step 4: Simplify right side
    534,940x = 1,242,585,072,369
  5. Step 5: Solve for x
    x = 1,242,585,072,369/534,940
  6. Step 6: Final answer
    x = 2,322,849.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.