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Finding the Third Proportional to 921,892 and 2,001,224

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Solution

The third proportional to 921,892 and 2,001,224 is: 4,344,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,892 : 2,001,224 = 2,001,224 : x
  2. Step 2: Convert to fraction form
    921,892/2,001,224 = 2,001,224/x
  3. Step 3: Cross multiply
    921,892x = 2,001,224 × 2,001,224
  4. Step 4: Simplify right side
    921,892x = 4,004,897,498,176
  5. Step 5: Solve for x
    x = 4,004,897,498,176/921,892
  6. Step 6: Final answer
    x = 4,344,215.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.