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Finding the Third Proportional to 534,120 and 831,816

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Solution

The third proportional to 534,120 and 831,816 is: 1,295,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,120 : 831,816 = 831,816 : x
  2. Step 2: Convert to fraction form
    534,120/831,816 = 831,816/x
  3. Step 3: Cross multiply
    534,120x = 831,816 × 831,816
  4. Step 4: Simplify right side
    534,120x = 691,917,857,856
  5. Step 5: Solve for x
    x = 691,917,857,856/534,120
  6. Step 6: Final answer
    x = 1,295,435.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.