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Finding the Third Proportional to 520,874 and 1,115,476

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Solution

The third proportional to 520,874 and 1,115,476 is: 2,388,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,874 : 1,115,476 = 1,115,476 : x
  2. Step 2: Convert to fraction form
    520,874/1,115,476 = 1,115,476/x
  3. Step 3: Cross multiply
    520,874x = 1,115,476 × 1,115,476
  4. Step 4: Simplify right side
    520,874x = 1,244,286,706,576
  5. Step 5: Solve for x
    x = 1,244,286,706,576/520,874
  6. Step 6: Final answer
    x = 2,388,843.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.