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Finding the Third Proportional to 682,114 and 1,136,787

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Solution

The third proportional to 682,114 and 1,136,787 is: 1,894,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,114 : 1,136,787 = 1,136,787 : x
  2. Step 2: Convert to fraction form
    682,114/1,136,787 = 1,136,787/x
  3. Step 3: Cross multiply
    682,114x = 1,136,787 × 1,136,787
  4. Step 4: Simplify right side
    682,114x = 1,292,284,683,369
  5. Step 5: Solve for x
    x = 1,292,284,683,369/682,114
  6. Step 6: Final answer
    x = 1,894,528.90

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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.