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Finding the Third Proportional to 856,320 and 1,882,128

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Solution

The third proportional to 856,320 and 1,882,128 is: 4,136,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,320 : 1,882,128 = 1,882,128 : x
  2. Step 2: Convert to fraction form
    856,320/1,882,128 = 1,882,128/x
  3. Step 3: Cross multiply
    856,320x = 1,882,128 × 1,882,128
  4. Step 4: Simplify right side
    856,320x = 3,542,405,808,384
  5. Step 5: Solve for x
    x = 3,542,405,808,384/856,320
  6. Step 6: Final answer
    x = 4,136,778.08

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