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Finding the Third Proportional to 520,096 and 1,118,922

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Solution

The third proportional to 520,096 and 1,118,922 is: 2,407,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096 : 1,118,922 = 1,118,922 : x
  2. Step 2: Convert to fraction form
    520,096/1,118,922 = 1,118,922/x
  3. Step 3: Cross multiply
    520,096x = 1,118,922 × 1,118,922
  4. Step 4: Simplify right side
    520,096x = 1,251,986,442,084
  5. Step 5: Solve for x
    x = 1,251,986,442,084/520,096
  6. Step 6: Final answer
    x = 2,407,221.82

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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.