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Finding the Third Proportional to 856,294 and 1,882,084

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Solution

The third proportional to 856,294 and 1,882,084 is: 4,136,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,294 : 1,882,084 = 1,882,084 : x
  2. Step 2: Convert to fraction form
    856,294/1,882,084 = 1,882,084/x
  3. Step 3: Cross multiply
    856,294x = 1,882,084 × 1,882,084
  4. Step 4: Simplify right side
    856,294x = 3,542,240,183,056
  5. Step 5: Solve for x
    x = 3,542,240,183,056/856,294
  6. Step 6: Final answer
    x = 4,136,710.27

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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.