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Finding the Third Proportional to 751,682 and 1,164,675

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Solution

The third proportional to 751,682 and 1,164,675 is: 1,804,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,682 : 1,164,675 = 1,164,675 : x
  2. Step 2: Convert to fraction form
    751,682/1,164,675 = 1,164,675/x
  3. Step 3: Cross multiply
    751,682x = 1,164,675 × 1,164,675
  4. Step 4: Simplify right side
    751,682x = 1,356,467,855,625
  5. Step 5: Solve for x
    x = 1,356,467,855,625/751,682
  6. Step 6: Final answer
    x = 1,804,576.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.