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Finding the Third Proportional to 832,795 and 1,808,286

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Solution

The third proportional to 832,795 and 1,808,286 is: 3,926,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,795 : 1,808,286 = 1,808,286 : x
  2. Step 2: Convert to fraction form
    832,795/1,808,286 = 1,808,286/x
  3. Step 3: Cross multiply
    832,795x = 1,808,286 × 1,808,286
  4. Step 4: Simplify right side
    832,795x = 3,269,898,257,796
  5. Step 5: Solve for x
    x = 3,269,898,257,796/832,795
  6. Step 6: Final answer
    x = 3,926,414.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.