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Finding the Third Proportional to 520,084 and 1,119,080

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Solution

The third proportional to 520,084 and 1,119,080 is: 2,407,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,084 : 1,119,080 = 1,119,080 : x
  2. Step 2: Convert to fraction form
    520,084/1,119,080 = 1,119,080/x
  3. Step 3: Cross multiply
    520,084x = 1,119,080 × 1,119,080
  4. Step 4: Simplify right side
    520,084x = 1,252,340,046,400
  5. Step 5: Solve for x
    x = 1,252,340,046,400/520,084
  6. Step 6: Final answer
    x = 2,407,957.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.