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Finding the Third Proportional to 751,059 and 1,152,834

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Solution

The third proportional to 751,059 and 1,152,834 is: 1,769,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,059 : 1,152,834 = 1,152,834 : x
  2. Step 2: Convert to fraction form
    751,059/1,152,834 = 1,152,834/x
  3. Step 3: Cross multiply
    751,059x = 1,152,834 × 1,152,834
  4. Step 4: Simplify right side
    751,059x = 1,329,026,231,556
  5. Step 5: Solve for x
    x = 1,329,026,231,556/751,059
  6. Step 6: Final answer
    x = 1,769,536.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.