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Finding the Third Proportional to 743,529 and 1,181,725

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Solution

The third proportional to 743,529 and 1,181,725 is: 1,878,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,529 : 1,181,725 = 1,181,725 : x
  2. Step 2: Convert to fraction form
    743,529/1,181,725 = 1,181,725/x
  3. Step 3: Cross multiply
    743,529x = 1,181,725 × 1,181,725
  4. Step 4: Simplify right side
    743,529x = 1,396,473,975,625
  5. Step 5: Solve for x
    x = 1,396,473,975,625/743,529
  6. Step 6: Final answer
    x = 1,878,170.15

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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.