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Finding the Third Proportional to 416,221 and 898,699

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Solution

The third proportional to 416,221 and 898,699 is: 1,940,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,221 : 898,699 = 898,699 : x
  2. Step 2: Convert to fraction form
    416,221/898,699 = 898,699/x
  3. Step 3: Cross multiply
    416,221x = 898,699 × 898,699
  4. Step 4: Simplify right side
    416,221x = 807,659,892,601
  5. Step 5: Solve for x
    x = 807,659,892,601/416,221
  6. Step 6: Final answer
    x = 1,940,459.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.