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Finding the Third Proportional to 851,790 and 1,862,556

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Solution

The third proportional to 851,790 and 1,862,556 is: 4,072,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,790 : 1,862,556 = 1,862,556 : x
  2. Step 2: Convert to fraction form
    851,790/1,862,556 = 1,862,556/x
  3. Step 3: Cross multiply
    851,790x = 1,862,556 × 1,862,556
  4. Step 4: Simplify right side
    851,790x = 3,469,114,853,136
  5. Step 5: Solve for x
    x = 3,469,114,853,136/851,790
  6. Step 6: Final answer
    x = 4,072,734.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.