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Finding the Third Proportional to 419,279 and 904,951

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Solution

The third proportional to 419,279 and 904,951 is: 1,953,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,279 : 904,951 = 904,951 : x
  2. Step 2: Convert to fraction form
    419,279/904,951 = 904,951/x
  3. Step 3: Cross multiply
    419,279x = 904,951 × 904,951
  4. Step 4: Simplify right side
    419,279x = 818,936,312,401
  5. Step 5: Solve for x
    x = 818,936,312,401/419,279
  6. Step 6: Final answer
    x = 1,953,201.36

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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.