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Finding the Third Proportional to 536,906 and 751,026

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Solution

The third proportional to 536,906 and 751,026 is: 1,050,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,906 : 751,026 = 751,026 : x
  2. Step 2: Convert to fraction form
    536,906/751,026 = 751,026/x
  3. Step 3: Cross multiply
    536,906x = 751,026 × 751,026
  4. Step 4: Simplify right side
    536,906x = 564,040,052,676
  5. Step 5: Solve for x
    x = 564,040,052,676/536,906
  6. Step 6: Final answer
    x = 1,050,537.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.