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Finding the Third Proportional to 857,136 and 1,809,696

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Solution

The third proportional to 857,136 and 1,809,696 is: 3,820,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,136 : 1,809,696 = 1,809,696 : x
  2. Step 2: Convert to fraction form
    857,136/1,809,696 = 1,809,696/x
  3. Step 3: Cross multiply
    857,136x = 1,809,696 × 1,809,696
  4. Step 4: Simplify right side
    857,136x = 3,274,999,612,416
  5. Step 5: Solve for x
    x = 3,274,999,612,416/857,136
  6. Step 6: Final answer
    x = 3,820,863.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.