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Finding the Third Proportional to 520,086 and 1,119,084

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Solution

The third proportional to 520,086 and 1,119,084 is: 2,407,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086 : 1,119,084 = 1,119,084 : x
  2. Step 2: Convert to fraction form
    520,086/1,119,084 = 1,119,084/x
  3. Step 3: Cross multiply
    520,086x = 1,119,084 × 1,119,084
  4. Step 4: Simplify right side
    520,086x = 1,252,348,999,056
  5. Step 5: Solve for x
    x = 1,252,348,999,056/520,086
  6. Step 6: Final answer
    x = 2,407,965.22

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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.