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Finding the Third Proportional to 415,619.86 and 895,353.75

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Solution

The third proportional to 415,619.86 and 895,353.75 is: 1,928,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,619.86 : 895,353.75 = 895,353.75 : x
  2. Step 2: Convert to fraction form
    415,619.86/895,353.75 = 895,353.75/x
  3. Step 3: Cross multiply
    415,619.86x = 895,353.75 × 895,353.75
  4. Step 4: Simplify right side
    415,619.86x = 801,658,337,639.06
  5. Step 5: Solve for x
    x = 801,658,337,639.06/415,619.86
  6. Step 6: Final answer
    x = 1,928,825.87

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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.