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Finding the Third Proportional to 827,144 and 1,247,628

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Solution

The third proportional to 827,144 and 1,247,628 is: 1,881,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,144 : 1,247,628 = 1,247,628 : x
  2. Step 2: Convert to fraction form
    827,144/1,247,628 = 1,247,628/x
  3. Step 3: Cross multiply
    827,144x = 1,247,628 × 1,247,628
  4. Step 4: Simplify right side
    827,144x = 1,556,575,626,384
  5. Step 5: Solve for x
    x = 1,556,575,626,384/827,144
  6. Step 6: Final answer
    x = 1,881,867.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.