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Finding the Third Proportional to 450,822 and 951,944

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Solution

The third proportional to 450,822 and 951,944 is: 2,010,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,822 : 951,944 = 951,944 : x
  2. Step 2: Convert to fraction form
    450,822/951,944 = 951,944/x
  3. Step 3: Cross multiply
    450,822x = 951,944 × 951,944
  4. Step 4: Simplify right side
    450,822x = 906,197,379,136
  5. Step 5: Solve for x
    x = 906,197,379,136/450,822
  6. Step 6: Final answer
    x = 2,010,100.17

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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.