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Finding the Third Proportional to 682,106 and 1,136,775

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Solution

The third proportional to 682,106 and 1,136,775 is: 1,894,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,106 : 1,136,775 = 1,136,775 : x
  2. Step 2: Convert to fraction form
    682,106/1,136,775 = 1,136,775/x
  3. Step 3: Cross multiply
    682,106x = 1,136,775 × 1,136,775
  4. Step 4: Simplify right side
    682,106x = 1,292,257,400,625
  5. Step 5: Solve for x
    x = 1,292,257,400,625/682,106
  6. Step 6: Final answer
    x = 1,894,511.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.