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Finding the Third Proportional to 419,696 and 899,226

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Solution

The third proportional to 419,696 and 899,226 is: 1,926,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,696 : 899,226 = 899,226 : x
  2. Step 2: Convert to fraction form
    419,696/899,226 = 899,226/x
  3. Step 3: Cross multiply
    419,696x = 899,226 × 899,226
  4. Step 4: Simplify right side
    419,696x = 808,607,399,076
  5. Step 5: Solve for x
    x = 808,607,399,076/419,696
  6. Step 6: Final answer
    x = 1,926,650.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.