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Finding the Third Proportional to 773,593 and 1,182,623

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Solution

The third proportional to 773,593 and 1,182,623 is: 1,807,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,593 : 1,182,623 = 1,182,623 : x
  2. Step 2: Convert to fraction form
    773,593/1,182,623 = 1,182,623/x
  3. Step 3: Cross multiply
    773,593x = 1,182,623 × 1,182,623
  4. Step 4: Simplify right side
    773,593x = 1,398,597,160,129
  5. Step 5: Solve for x
    x = 1,398,597,160,129/773,593
  6. Step 6: Final answer
    x = 1,807,923.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.