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Finding the Third Proportional to 419,032 and 904,464

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Solution

The third proportional to 419,032 and 904,464 is: 1,952,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,032 : 904,464 = 904,464 : x
  2. Step 2: Convert to fraction form
    419,032/904,464 = 904,464/x
  3. Step 3: Cross multiply
    419,032x = 904,464 × 904,464
  4. Step 4: Simplify right side
    419,032x = 818,055,127,296
  5. Step 5: Solve for x
    x = 818,055,127,296/419,032
  6. Step 6: Final answer
    x = 1,952,249.77

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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.