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Finding the Third Proportional to 827,085 and 1,801,318

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Solution

The third proportional to 827,085 and 1,801,318 is: 3,923,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,085 : 1,801,318 = 1,801,318 : x
  2. Step 2: Convert to fraction form
    827,085/1,801,318 = 1,801,318/x
  3. Step 3: Cross multiply
    827,085x = 1,801,318 × 1,801,318
  4. Step 4: Simplify right side
    827,085x = 3,244,746,537,124
  5. Step 5: Solve for x
    x = 3,244,746,537,124/827,085
  6. Step 6: Final answer
    x = 3,923,111.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.