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Finding the Third Proportional to 898,005.23 and 1,356,336.14

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Solution

The third proportional to 898,005.23 and 1,356,336.14 is: 2,048,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,005.23 : 1,356,336.14 = 1,356,336.14 : x
  2. Step 2: Convert to fraction form
    898,005.23/1,356,336.14 = 1,356,336.14/x
  3. Step 3: Cross multiply
    898,005.23x = 1,356,336.14 × 1,356,336.14
  4. Step 4: Simplify right side
    898,005.23x = 1,839,647,726,365.52
  5. Step 5: Solve for x
    x = 1,839,647,726,365.52/898,005.23
  6. Step 6: Final answer
    x = 2,048,593.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.