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Finding the Third Proportional to 856,296 and 1,882,088

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Solution

The third proportional to 856,296 and 1,882,088 is: 4,136,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,296 : 1,882,088 = 1,882,088 : x
  2. Step 2: Convert to fraction form
    856,296/1,882,088 = 1,882,088/x
  3. Step 3: Cross multiply
    856,296x = 1,882,088 × 1,882,088
  4. Step 4: Simplify right side
    856,296x = 3,542,255,239,744
  5. Step 5: Solve for x
    x = 3,542,255,239,744/856,296
  6. Step 6: Final answer
    x = 4,136,718.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.