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Finding the Third Proportional to 383,616 and 834,678

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Solution

The third proportional to 383,616 and 834,678 is: 1,816,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,616 : 834,678 = 834,678 : x
  2. Step 2: Convert to fraction form
    383,616/834,678 = 834,678/x
  3. Step 3: Cross multiply
    383,616x = 834,678 × 834,678
  4. Step 4: Simplify right side
    383,616x = 696,687,363,684
  5. Step 5: Solve for x
    x = 696,687,363,684/383,616
  6. Step 6: Final answer
    x = 1,816,106.12

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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.