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Finding the Third Proportional to 450,805 and 951,911

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Solution

The third proportional to 450,805 and 951,911 is: 2,010,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,805 : 951,911 = 951,911 : x
  2. Step 2: Convert to fraction form
    450,805/951,911 = 951,911/x
  3. Step 3: Cross multiply
    450,805x = 951,911 × 951,911
  4. Step 4: Simplify right side
    450,805x = 906,134,551,921
  5. Step 5: Solve for x
    x = 906,134,551,921/450,805
  6. Step 6: Final answer
    x = 2,010,036.61

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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.