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Finding the Third Proportional to 520,077 and 1,135,864

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Solution

The third proportional to 520,077 and 1,135,864 is: 2,480,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077 : 1,135,864 = 1,135,864 : x
  2. Step 2: Convert to fraction form
    520,077/1,135,864 = 1,135,864/x
  3. Step 3: Cross multiply
    520,077x = 1,135,864 × 1,135,864
  4. Step 4: Simplify right side
    520,077x = 1,290,187,026,496
  5. Step 5: Solve for x
    x = 1,290,187,026,496/520,077
  6. Step 6: Final answer
    x = 2,480,761.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.