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Finding the Third Proportional to 417,896 and 898,648

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Solution

The third proportional to 417,896 and 898,648 is: 1,932,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,896 : 898,648 = 898,648 : x
  2. Step 2: Convert to fraction form
    417,896/898,648 = 898,648/x
  3. Step 3: Cross multiply
    417,896x = 898,648 × 898,648
  4. Step 4: Simplify right side
    417,896x = 807,568,227,904
  5. Step 5: Solve for x
    x = 807,568,227,904/417,896
  6. Step 6: Final answer
    x = 1,932,462.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.