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Finding the Third Proportional to 857,944 and 1,829,885

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Solution

The third proportional to 857,944 and 1,829,885 is: 3,902,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,944 : 1,829,885 = 1,829,885 : x
  2. Step 2: Convert to fraction form
    857,944/1,829,885 = 1,829,885/x
  3. Step 3: Cross multiply
    857,944x = 1,829,885 × 1,829,885
  4. Step 4: Simplify right side
    857,944x = 3,348,479,113,225
  5. Step 5: Solve for x
    x = 3,348,479,113,225/857,944
  6. Step 6: Final answer
    x = 3,902,911.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.