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Finding the Third Proportional to 451,794 and 941,043

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Solution

The third proportional to 451,794 and 941,043 is: 1,960,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,794 : 941,043 = 941,043 : x
  2. Step 2: Convert to fraction form
    451,794/941,043 = 941,043/x
  3. Step 3: Cross multiply
    451,794x = 941,043 × 941,043
  4. Step 4: Simplify right side
    451,794x = 885,561,927,849
  5. Step 5: Solve for x
    x = 885,561,927,849/451,794
  6. Step 6: Final answer
    x = 1,960,101.13

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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.