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Finding the Third Proportional to 415,611 and 896,082.75

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Solution

The third proportional to 415,611 and 896,082.75 is: 1,932,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,611 : 896,082.75 = 896,082.75 : x
  2. Step 2: Convert to fraction form
    415,611/896,082.75 = 896,082.75/x
  3. Step 3: Cross multiply
    415,611x = 896,082.75 × 896,082.75
  4. Step 4: Simplify right side
    415,611x = 802,964,294,847.56
  5. Step 5: Solve for x
    x = 802,964,294,847.56/415,611
  6. Step 6: Final answer
    x = 1,932,009.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.