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Finding the Third Proportional to 407,024 and 895,249

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Solution

The third proportional to 407,024 and 895,249 is: 1,969,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,024 : 895,249 = 895,249 : x
  2. Step 2: Convert to fraction form
    407,024/895,249 = 895,249/x
  3. Step 3: Cross multiply
    407,024x = 895,249 × 895,249
  4. Step 4: Simplify right side
    407,024x = 801,470,772,001
  5. Step 5: Solve for x
    x = 801,470,772,001/407,024
  6. Step 6: Final answer
    x = 1,969,099.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.