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Finding the Third Proportional to 393,852 and 843,746

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Solution

The third proportional to 393,852 and 843,746 is: 1,807,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,852 : 843,746 = 843,746 : x
  2. Step 2: Convert to fraction form
    393,852/843,746 = 843,746/x
  3. Step 3: Cross multiply
    393,852x = 843,746 × 843,746
  4. Step 4: Simplify right side
    393,852x = 711,907,312,516
  5. Step 5: Solve for x
    x = 711,907,312,516/393,852
  6. Step 6: Final answer
    x = 1,807,550.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.