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Finding the Third Proportional to 450,814 and 951,928

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Solution

The third proportional to 450,814 and 951,928 is: 2,010,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,814 : 951,928 = 951,928 : x
  2. Step 2: Convert to fraction form
    450,814/951,928 = 951,928/x
  3. Step 3: Cross multiply
    450,814x = 951,928 × 951,928
  4. Step 4: Simplify right side
    450,814x = 906,166,917,184
  5. Step 5: Solve for x
    x = 906,166,917,184/450,814
  6. Step 6: Final answer
    x = 2,010,068.27

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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.