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Finding the Third Proportional to 516,512 and 1,118,812

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Solution

The third proportional to 516,512 and 1,118,812 is: 2,423,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,512 : 1,118,812 = 1,118,812 : x
  2. Step 2: Convert to fraction form
    516,512/1,118,812 = 1,118,812/x
  3. Step 3: Cross multiply
    516,512x = 1,118,812 × 1,118,812
  4. Step 4: Simplify right side
    516,512x = 1,251,740,291,344
  5. Step 5: Solve for x
    x = 1,251,740,291,344/516,512
  6. Step 6: Final answer
    x = 2,423,448.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.