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Finding the Third Proportional to 898,056 and 1,906,812

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Solution

The third proportional to 898,056 and 1,906,812 is: 4,048,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,056 : 1,906,812 = 1,906,812 : x
  2. Step 2: Convert to fraction form
    898,056/1,906,812 = 1,906,812/x
  3. Step 3: Cross multiply
    898,056x = 1,906,812 × 1,906,812
  4. Step 4: Simplify right side
    898,056x = 3,635,932,003,344
  5. Step 5: Solve for x
    x = 3,635,932,003,344/898,056
  6. Step 6: Final answer
    x = 4,048,669.57

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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.