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Finding the Third Proportional to 898,058 and 1,906,816

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Solution

The third proportional to 898,058 and 1,906,816 is: 4,048,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,058 : 1,906,816 = 1,906,816 : x
  2. Step 2: Convert to fraction form
    898,058/1,906,816 = 1,906,816/x
  3. Step 3: Cross multiply
    898,058x = 1,906,816 × 1,906,816
  4. Step 4: Simplify right side
    898,058x = 3,635,947,257,856
  5. Step 5: Solve for x
    x = 3,635,947,257,856/898,058
  6. Step 6: Final answer
    x = 4,048,677.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.