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Finding the Third Proportional to 393,115 and 837,706

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Solution

The third proportional to 393,115 and 837,706 is: 1,785,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,115 : 837,706 = 837,706 : x
  2. Step 2: Convert to fraction form
    393,115/837,706 = 837,706/x
  3. Step 3: Cross multiply
    393,115x = 837,706 × 837,706
  4. Step 4: Simplify right side
    393,115x = 701,751,342,436
  5. Step 5: Solve for x
    x = 701,751,342,436/393,115
  6. Step 6: Final answer
    x = 1,785,104.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.