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Finding the Third Proportional to 419,247 and 904,878

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Solution

The third proportional to 419,247 and 904,878 is: 1,953,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,247 : 904,878 = 904,878 : x
  2. Step 2: Convert to fraction form
    419,247/904,878 = 904,878/x
  3. Step 3: Cross multiply
    419,247x = 904,878 × 904,878
  4. Step 4: Simplify right side
    419,247x = 818,804,194,884
  5. Step 5: Solve for x
    x = 818,804,194,884/419,247
  6. Step 6: Final answer
    x = 1,953,035.31

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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.