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Finding the Third Proportional to 743,523 and 1,181,718

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Solution

The third proportional to 743,523 and 1,181,718 is: 1,878,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,523 : 1,181,718 = 1,181,718 : x
  2. Step 2: Convert to fraction form
    743,523/1,181,718 = 1,181,718/x
  3. Step 3: Cross multiply
    743,523x = 1,181,718 × 1,181,718
  4. Step 4: Simplify right side
    743,523x = 1,396,457,431,524
  5. Step 5: Solve for x
    x = 1,396,457,431,524/743,523
  6. Step 6: Final answer
    x = 1,878,163.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.