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Finding the Third Proportional to 824,384 and 1,789,896

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Solution

The third proportional to 824,384 and 1,789,896 is: 3,886,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,384 : 1,789,896 = 1,789,896 : x
  2. Step 2: Convert to fraction form
    824,384/1,789,896 = 1,789,896/x
  3. Step 3: Cross multiply
    824,384x = 1,789,896 × 1,789,896
  4. Step 4: Simplify right side
    824,384x = 3,203,727,690,816
  5. Step 5: Solve for x
    x = 3,203,727,690,816/824,384
  6. Step 6: Final answer
    x = 3,886,207.99

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