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Finding the Third Proportional to 592,032 and 1,278,672

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Solution

The third proportional to 592,032 and 1,278,672 is: 2,761,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,032 : 1,278,672 = 1,278,672 : x
  2. Step 2: Convert to fraction form
    592,032/1,278,672 = 1,278,672/x
  3. Step 3: Cross multiply
    592,032x = 1,278,672 × 1,278,672
  4. Step 4: Simplify right side
    592,032x = 1,635,002,083,584
  5. Step 5: Solve for x
    x = 1,635,002,083,584/592,032
  6. Step 6: Final answer
    x = 2,761,678.56

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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.