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Finding the Third Proportional to 450,823 and 951,946

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Solution

The third proportional to 450,823 and 951,946 is: 2,010,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,823 : 951,946 = 951,946 : x
  2. Step 2: Convert to fraction form
    450,823/951,946 = 951,946/x
  3. Step 3: Cross multiply
    450,823x = 951,946 × 951,946
  4. Step 4: Simplify right side
    450,823x = 906,201,186,916
  5. Step 5: Solve for x
    x = 906,201,186,916/450,823
  6. Step 6: Final answer
    x = 2,010,104.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.