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Finding the Third Proportional to 578,593 and 1,185,373

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Solution

The third proportional to 578,593 and 1,185,373 is: 2,428,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,593 : 1,185,373 = 1,185,373 : x
  2. Step 2: Convert to fraction form
    578,593/1,185,373 = 1,185,373/x
  3. Step 3: Cross multiply
    578,593x = 1,185,373 × 1,185,373
  4. Step 4: Simplify right side
    578,593x = 1,405,109,149,129
  5. Step 5: Solve for x
    x = 1,405,109,149,129/578,593
  6. Step 6: Final answer
    x = 2,428,493.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.