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Finding the Third Proportional to 446,318 and 928,736

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Solution

The third proportional to 446,318 and 928,736 is: 1,932,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,318 : 928,736 = 928,736 : x
  2. Step 2: Convert to fraction form
    446,318/928,736 = 928,736/x
  3. Step 3: Cross multiply
    446,318x = 928,736 × 928,736
  4. Step 4: Simplify right side
    446,318x = 862,550,557,696
  5. Step 5: Solve for x
    x = 862,550,557,696/446,318
  6. Step 6: Final answer
    x = 1,932,591.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.