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Finding the Third Proportional to 409,581.75 and 897,895.88

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Solution

The third proportional to 409,581.75 and 897,895.88 is: 1,968,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,581.75 : 897,895.88 = 897,895.88 : x
  2. Step 2: Convert to fraction form
    409,581.75/897,895.88 = 897,895.88/x
  3. Step 3: Cross multiply
    409,581.75x = 897,895.88 × 897,895.88
  4. Step 4: Simplify right side
    409,581.75x = 806,217,002,342.02
  5. Step 5: Solve for x
    x = 806,217,002,342.02/409,581.75
  6. Step 6: Final answer
    x = 1,968,390.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.