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Finding the Third Proportional to 856,286 and 1,882,070

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Solution

The third proportional to 856,286 and 1,882,070 is: 4,136,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,286 : 1,882,070 = 1,882,070 : x
  2. Step 2: Convert to fraction form
    856,286/1,882,070 = 1,882,070/x
  3. Step 3: Cross multiply
    856,286x = 1,882,070 × 1,882,070
  4. Step 4: Simplify right side
    856,286x = 3,542,187,484,900
  5. Step 5: Solve for x
    x = 3,542,187,484,900/856,286
  6. Step 6: Final answer
    x = 4,136,687.37

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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.