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Finding the Third Proportional to 410,892.75 and 896,523.19

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Solution

The third proportional to 410,892.75 and 896,523.19 is: 1,956,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,892.75 : 896,523.19 = 896,523.19 : x
  2. Step 2: Convert to fraction form
    410,892.75/896,523.19 = 896,523.19/x
  3. Step 3: Cross multiply
    410,892.75x = 896,523.19 × 896,523.19
  4. Step 4: Simplify right side
    410,892.75x = 803,753,825,725.16
  5. Step 5: Solve for x
    x = 803,753,825,725.16/410,892.75
  6. Step 6: Final answer
    x = 1,956,115.86

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