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Finding the Third Proportional to 816,972.75 and 1,259,911.13

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Solution

The third proportional to 816,972.75 and 1,259,911.13 is: 1,942,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,972.75 : 1,259,911.13 = 1,259,911.13 : x
  2. Step 2: Convert to fraction form
    816,972.75/1,259,911.13 = 1,259,911.13/x
  3. Step 3: Cross multiply
    816,972.75x = 1,259,911.13 × 1,259,911.13
  4. Step 4: Simplify right side
    816,972.75x = 1,587,376,042,898.77
  5. Step 5: Solve for x
    x = 1,587,376,042,898.77/816,972.75
  6. Step 6: Final answer
    x = 1,942,997.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.