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Finding the Third Proportional to 501,737 and 1,081,234

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Solution

The third proportional to 501,737 and 1,081,234 is: 2,330,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,737 : 1,081,234 = 1,081,234 : x
  2. Step 2: Convert to fraction form
    501,737/1,081,234 = 1,081,234/x
  3. Step 3: Cross multiply
    501,737x = 1,081,234 × 1,081,234
  4. Step 4: Simplify right side
    501,737x = 1,169,066,962,756
  5. Step 5: Solve for x
    x = 1,169,066,962,756/501,737
  6. Step 6: Final answer
    x = 2,330,039.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.