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Finding the Third Proportional to 516,456 and 1,107,621

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Solution

The third proportional to 516,456 and 1,107,621 is: 2,375,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,456 : 1,107,621 = 1,107,621 : x
  2. Step 2: Convert to fraction form
    516,456/1,107,621 = 1,107,621/x
  3. Step 3: Cross multiply
    516,456x = 1,107,621 × 1,107,621
  4. Step 4: Simplify right side
    516,456x = 1,226,824,279,641
  5. Step 5: Solve for x
    x = 1,226,824,279,641/516,456
  6. Step 6: Final answer
    x = 2,375,467.18

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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.