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Finding the Third Proportional to 411,674 and 834,796

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Solution

The third proportional to 411,674 and 834,796 is: 1,692,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,674 : 834,796 = 834,796 : x
  2. Step 2: Convert to fraction form
    411,674/834,796 = 834,796/x
  3. Step 3: Cross multiply
    411,674x = 834,796 × 834,796
  4. Step 4: Simplify right side
    411,674x = 696,884,361,616
  5. Step 5: Solve for x
    x = 696,884,361,616/411,674
  6. Step 6: Final answer
    x = 1,692,806.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.