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Finding the Third Proportional to 518,966 and 1,115,548

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Solution

The third proportional to 518,966 and 1,115,548 is: 2,397,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,966 : 1,115,548 = 1,115,548 : x
  2. Step 2: Convert to fraction form
    518,966/1,115,548 = 1,115,548/x
  3. Step 3: Cross multiply
    518,966x = 1,115,548 × 1,115,548
  4. Step 4: Simplify right side
    518,966x = 1,244,447,340,304
  5. Step 5: Solve for x
    x = 1,244,447,340,304/518,966
  6. Step 6: Final answer
    x = 2,397,936.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.