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Finding the Third Proportional to 419,232 and 904,859

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Solution

The third proportional to 419,232 and 904,859 is: 1,953,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,232 : 904,859 = 904,859 : x
  2. Step 2: Convert to fraction form
    419,232/904,859 = 904,859/x
  3. Step 3: Cross multiply
    419,232x = 904,859 × 904,859
  4. Step 4: Simplify right side
    419,232x = 818,769,809,881
  5. Step 5: Solve for x
    x = 818,769,809,881/419,232
  6. Step 6: Final answer
    x = 1,953,023.17

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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.