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Finding the Third Proportional to 416,856.38 and 896,902.88

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Solution

The third proportional to 416,856.38 and 896,902.88 is: 1,929,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,856.38 : 896,902.88 = 896,902.88 : x
  2. Step 2: Convert to fraction form
    416,856.38/896,902.88 = 896,902.88/x
  3. Step 3: Cross multiply
    416,856.38x = 896,902.88 × 896,902.88
  4. Step 4: Simplify right side
    416,856.38x = 804,434,767,183.27
  5. Step 5: Solve for x
    x = 804,434,767,183.27/416,856.38
  6. Step 6: Final answer
    x = 1,929,764.82

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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.